{"id":66214,"date":"2023-10-31T13:10:44","date_gmt":"2023-10-31T07:40:44","guid":{"rendered":"https:\/\/www.practicemock.com\/blog\/?p=66214"},"modified":"2025-11-25T17:47:25","modified_gmt":"2025-11-25T12:17:25","slug":"permutation-combination-practice-questions-solutions-for-sbi-po-prelims","status":"publish","type":"post","link":"https:\/\/www.practicemock.com\/blog\/permutation-combination-practice-questions-solutions-for-sbi-po-prelims\/","title":{"rendered":"Permutation & Combination Practice Questions & Solutions for SBI PO Prelims"},"content":{"rendered":"\n

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Home<\/a><\/span> \u00bb SBI PO<\/a><\/span> \u00bb Permutation & Combination Practice Questions & Solutions for SBI PO Prelims<\/span><\/span><\/div>\n\n\n

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SBI PO prelims 2023 exam is starting from 1st November which is tomorrow and the exam is expected to continue on 4th & 5th Nov respectively for all shifts. SBI PO is quite an important exam for which many aspirants prepare every year. Mentioned below is the SBI PO Prelims exam<\/a> pattern below: <\/p>\n\n\n\n

SBI PO Prelims Exam Pattern<\/strong><\/h3>\n\n\n\n
SBI PO Prelims Exam Pattern 2023<\/td><\/tr>
S.No.<\/td>Name of Tests (Objective)<\/td>No. of Questions<\/td>Maximum Marks<\/td>Duration<\/td><\/tr>
1<\/td>English Language<\/td>30<\/td>30<\/td>20 minutes<\/td><\/tr>
2<\/td>Quantitative Aptitude<\/td>35<\/td>35<\/td>20 minutes<\/td><\/tr>
3<\/td>Reasoning Ability<\/td>35<\/td>35<\/td>20 minutes<\/td><\/tr>
Total<\/td>100<\/td>100<\/td>1 hour<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

Permutation and Combination:<\/h3>\n\n\n\n

Factorial:<\/p>\n\n\n\n

Let \u2018n\u2019 be a natural number, then n! = n \u00d7 (n \u2013 1) \u00d7 (n \u2013 2) \u00d7 \u2026 \u00d7 1<\/p>\n\n\n\n

Permutation:<\/p>\n\n\n\n

Permutation is the arrangement of different number of things where we take into consideration the order or arrangement.<\/p>\n\n\n\n

Combination:<\/p>\n\n\n\n

The number of different groups or selections that can be formed by taking some or all items at a time, is called combination.<\/p>\n\n\n\n

<\/p>\n\n\n\n

Permutation & Combination Practice Questions & Solutions for SBI PO Prelims<\/h2>\n\n\n\n

Question 1: BCCI has to select a team of 6 batsmen and 5 bowlers to be sent for England tour, while Dhoni (Batsman) and Ashwin (Bowler) is always selected. If there are total 10 batsmen and 8 bowlers in the team, then find the total number of ways of selection.<\/p>\n\n\n\n

A) 4410<\/p>\n\n\n\n

B) 5680<\/p>\n\n\n\n

C) 6250<\/p>\n\n\n\n

D) 7240<\/p>\n\n\n\n

E) None of these<\/p>\n\n\n\n

Question 2: Find the number of words that can be formed using the letters of the word \u201cIRIDIUM\u201d so that vowels are always together.<\/p>\n\n\n\n

A) 48<\/p>\n\n\n\n

B) 96<\/p>\n\n\n\n

C) 120<\/p>\n\n\n\n

D) 240<\/p>\n\n\n\n

E) 560<\/p>\n\n\n\n

Question 3: A group of 15 members has male members and female members in the ratio of 3:2 respectively. 3 members are to be selected from this group. Find the number of ways the members can be selected such that it has odd number of female members.<\/p>\n\n\n\n

A) 224 ways<\/p>\n\n\n\n

B) 254 ways<\/p>\n\n\n\n

C) 242 ways<\/p>\n\n\n\n

D) 236 ways<\/p>\n\n\n\n

E) None of these<\/p>\n\n\n\n

<\/p>\n\n\n\n

Question 4: A monetary policy committee of six members is to be selected from a group of seven RBI directors and six government executives. In how many ways will the committee having at least two RBI directors and at least two government executives be selected?<\/p>\n\n\n\n

A) 1716<\/p>\n\n\n\n

B) 1540<\/p>\n\n\n\n

C) 1260<\/p>\n\n\n\n

D) 1050<\/p>\n\n\n\n

E) 700<\/p>\n\n\n\n

Question 5: A cricket team of 11 players is to be selected from a group of 8 batsmen and 7 bowlers. In how many ways a team having at least 6 batsmen and at least 4 bowlers are selected?<\/p>\n\n\n\n

A) 966<\/p>\n\n\n\n

B) 762<\/p>\n\n\n\n

C) 854<\/p>\n\n\n\n

D) 868<\/p>\n\n\n\n

E) None of these<\/p>\n\n\n\n

<\/p>\n\n\n\n

Question 6: In a car, 3 girls and 2 boys can be accommodated. In how many ways the selection can be made out of 5 boys and 5 girls?<\/p>\n\n\n\n

A) 120 ways<\/p>\n\n\n\n

B) 80 ways<\/p>\n\n\n\n

C) 100 ways<\/p>\n\n\n\n

D) 50 ways<\/p>\n\n\n\n

E) None of these<\/p>\n\n\n\n

Question 7: How many 3-letters word with or without meaning, can be formed out of the letters of the word, ‘COMPUTERS’, if repetition of letters is not allowed?<\/p>\n\n\n\n

A) 504<\/p>\n\n\n\n

B) 720<\/p>\n\n\n\n

C) 336<\/p>\n\n\n\n

D) 360<\/p>\n\n\n\n

E) 126<\/p>\n\n\n\n

<\/p>\n\n\n\n

Question 8: Five coloured rings have to be arranged on two shelves with maximum three rings on one shelf. Find the total possible number of ways to arrange the rings.<\/p>\n\n\n\n

A) 160<\/p>\n\n\n\n

B) 180<\/p>\n\n\n\n

C) 200<\/p>\n\n\n\n

D) 240<\/p>\n\n\n\n

E) 150<\/p>\n\n\n\n

Question 9: A team of 7 players is to be selected from a group of 6 male players and 5 female players. In how many ways a team having at least 5 male players is selected?<\/p>\n\n\n\n

A) 60<\/p>\n\n\n\n

B) 65<\/p>\n\n\n\n

C) 70<\/p>\n\n\n\n

D) 75<\/p>\n\n\n\n

E) None of these<\/p>\n\n\n\n

Question 10: Five articles out of which 3 are cups and rest are glasses have to be arranged on a shelf. Find the number of ways of arrangement in which all three cups are not placed together.<\/p>\n\n\n\n

A) 80 ways<\/p>\n\n\n\n

B) 72 ways<\/p>\n\n\n\n

C) 60 ways<\/p>\n\n\n\n

D) 84 ways<\/p>\n\n\n\n

E) 64 ways<\/p>\n\n\n\n

<\/p>\n\n\n\n

\u092a\u094d\u0930\u0936\u094d\u0928 1: \u092c\u0940\u0938\u0940\u0938\u0940\u0906\u0908 \u0915\u094b \u0907\u0902\u0917\u094d\u0932\u0948\u0902\u0921 \u0926\u094c\u0930\u0947 \u0915\u0947 \u0932\u093f\u090f 6 \u092c\u0932\u094d\u0932\u0947\u092c\u093e\u091c\u094b\u0902 \u0914\u0930 5 \u0917\u0947\u0902\u0926\u092c\u093e\u091c\u094b\u0902 \u0915\u0940 \u090f\u0915 \u091f\u0940\u092e \u0915\u093e \u091a\u092f\u0928 \u0915\u0930\u0928\u093e \u0939\u094b\u0917\u093e, \u091c\u092c\u0915\u093f \u0927\u094b\u0928\u0940 (\u092c\u0932\u094d\u0932\u0947\u092c\u093e\u091c) \u0914\u0930 \u0905\u0936\u094d\u0935\u093f\u0928 (\u0917\u0947\u0902\u0926\u092c\u093e\u091c) \u0939\u092e\u0947\u0936\u093e \u091a\u0941\u0928\u0947 \u091c\u093e\u0924\u0947 \u0939\u0948\u0902\u0964 \u092f\u0926\u093f \u091f\u0940\u092e \u092e\u0947\u0902 \u0915\u0941\u0932 10 \u092c\u0932\u094d\u0932\u0947\u092c\u093e\u091c \u0914\u0930 8 \u0917\u0947\u0902\u0926\u092c\u093e\u091c\u093c \u0939\u0948\u0902, \u0924\u094b \u091a\u092f\u0928 \u0915\u0947 \u0924\u0930\u0940\u0915\u094b\u0902 \u0915\u0940 \u0915\u0941\u0932 \u0938\u0902\u0916\u094d\u092f\u093e \u092c\u0924\u093e\u0907\u090f?<\/p>\n\n\n\n

A) 4410<\/p>\n\n\n\n

B) 5680<\/p>\n\n\n\n

C) 6250<\/p>\n\n\n\n

D) 7240<\/p>\n\n\n\n

E) None of these<\/p>\n\n\n\n

\u092a\u094d\u0930\u0936\u094d\u0928 2: \u0936\u092c\u094d\u0926 \u201cIRIDIUM\u201d ” \u0915\u0947 \u0905\u0915\u094d\u0937\u0930\u094b\u0902 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0915\u0947 \u0917\u0920\u093f\u0924 \u0936\u092c\u094d\u0926\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u092c\u0924\u093e\u092f\u0947 \u091c\u093f\u0938\u092e\u0947\u0902 vowels \u0939\u092e\u0947\u0936\u093e \u090f\u0915 \u0938\u093e\u0925 \u0930\u0939\u0947\u0902\u0964<\/p>\n\n\n\n

A) 48<\/p>\n\n\n\n

B) 96<\/p>\n\n\n\n

C) 120<\/p>\n\n\n\n

D) 240<\/p>\n\n\n\n

E) 560<\/p>\n\n\n\n

\u092a\u094d\u0930\u0936\u094d\u0928 3: 15 \u0938\u0926\u0938\u094d\u092f\u094b\u0902 \u0915\u0947 \u090f\u0915 \u0938\u092e\u0942\u0939 \u092e\u0947\u0902 \u092a\u0941\u0930\u0941\u0937 \u0938\u0926\u0938\u094d\u092f \u0914\u0930 \u092e\u0939\u093f\u0932\u093e \u0938\u0926\u0938\u094d\u092f \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 \u0915\u094d\u0930\u092e\u0936\u0903 3: 2 \u0939\u0948\u0902\u0964 \u0907\u0938 \u0938\u092e\u0942\u0939 \u0938\u0947 3 \u0938\u0926\u0938\u094d\u092f\u094b\u0902 \u0915\u093e \u091a\u092f\u0928 \u0915\u093f\u092f\u093e \u091c\u093e\u0928\u093e \u0939\u0948\u0964\u0910\u0938\u0947 \u0915\u093f\u0924\u0928\u0947 \u0924\u0930\u0940\u0915\u0947 \u0938\u0947 \u0938\u0926\u0938\u094d\u092f \u0915\u093e \u0917\u0920\u0928 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948 \u0915\u093f \u0907\u0938\u092e\u0947\u0902 \u092e\u0939\u093f\u0932\u093e \u0938\u0926\u0938\u094d\u092f\u094b\u0902 \u0915\u0940 \u0935\u093f\u0937\u092e \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u094b|<\/p>\n\n\n\n

A) 224 ways<\/p>\n\n\n\n

B) 254 ways<\/p>\n\n\n\n

C) 242 ways<\/p>\n\n\n\n

D) 236 ways<\/p>\n\n\n\n

E) \u0907\u0928\u092e\u0947\u0902 \u0938\u0947 \u0915\u094b\u0908 \u0928\u0939\u0940\u0902<\/p>\n\n\n\n

\u092a\u094d\u0930\u0936\u094d\u0928 4: \u0938\u093e\u0924 RBI directors \u0914\u0930 \u091b\u0939 government executives \u0915\u0947 \u090f\u0915 \u0938\u092e\u0942\u0939 \u0938\u0947 \u091b\u0939 \u0938\u0926\u0938\u094d\u092f\u094b\u0902 \u0915\u0940 \u092e\u094c\u0926\u094d\u0930\u093f\u0915 \u0928\u0940\u0924\u093f \u0938\u092e\u093f\u0924\u093f \u0915\u093e \u091a\u092f\u0928 \u0915\u093f\u092f\u093e \u091c\u093e\u0928\u093e \u0939\u0948\u0964\u0910\u0938\u0947 \u0915\u093f\u0924\u0928\u0947 \u092a\u094d\u0930\u0915\u093e\u0930 \u0938\u0947 \u0938\u092e\u093f\u0924\u093f \u0915\u093e \u0917\u0920\u0928 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948 \u0915\u093f \u0938\u092e\u093f\u0924\u093f \u092e\u0947\u0902 \u0915\u092e \u0938\u0947 \u0915\u092e \u0926\u094b RBI directors \u0914\u0930 \u0915\u092e \u0938\u0947 \u0915\u092e \u0926\u094b government executives \u0915\u093e \u091a\u092f\u0928 \u0939\u094b?<\/p>\n\n\n\n

A) 1716<\/p>\n\n\n\n

B) 1540<\/p>\n\n\n\n

C) 1260<\/p>\n\n\n\n

D) 1050<\/p>\n\n\n\n

E) 700<\/p>\n\n\n\n

\u092a\u094d\u0930\u0936\u094d\u0928 5: 11 \u0916\u093f\u0932\u093e\u0921\u093c\u093f\u092f\u094b\u0902 \u0915\u0940 \u090f\u0915 \u0915\u094d\u0930\u093f\u0915\u0947\u091f \u091f\u0940\u092e \u0915\u094b 8 \u092c\u0932\u094d\u0932\u0947\u092c\u093e\u091c\u094b\u0902 \u0914\u0930 7 \u0917\u0947\u0902\u0926\u092c\u093e\u091c\u094b\u0902 \u0915\u0947 \u090f\u0915 \u0938\u092e\u0942\u0939 \u0938\u0947 \u091a\u092f\u0928 \u0915\u093f\u092f\u093e \u091c\u093e \u0930\u0939\u093e \u0939\u0948\u0964\u0915\u093f\u0924\u0928\u0947 \u092a\u094d\u0930\u0915\u093e\u0930 \u0938\u0947 \u091f\u0940\u092e \u0915\u093e \u091a\u092f\u0928 \u0907\u0938 \u0924\u0930\u0939 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948 \u0915\u093f \u091f\u0940\u092e \u092e\u0947\u0902 \u0915\u092e \u0938\u0947 \u0915\u092e 6 \u092c\u0932\u094d\u0932\u0947\u092c\u093e\u091c \u0914\u0930 \u0915\u092e \u0938\u0947 \u0915\u092e 4 \u0917\u0947\u0902\u0926\u092c\u093e\u091c \u0939\u094b?<\/p>\n\n\n\n

A) 966<\/p>\n\n\n\n

B) 762<\/p>\n\n\n\n

C) 854<\/p>\n\n\n\n

D) 868<\/p>\n\n\n\n

E) \u0907\u0928\u092e\u0947\u0902 \u0938\u0947 \u0915\u094b\u0908 \u0928\u0939\u0940\u0902<\/p>\n\n\n\n

<\/p>\n\n\n\n

\u092a\u094d\u0930\u0936\u094d\u0928 6: \u090f\u0915 \u0915\u093e\u0930 \u092e\u0947\u0902 3 \u0932\u0921\u093c\u0915\u093f\u092f\u094b\u0902 \u0914\u0930 2 \u0932\u0921\u093c\u0915\u094b\u0902 \u0915\u094b \u0930\u0916\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948\u0964 5 \u0932\u0921\u093c\u0915\u094b\u0902 \u0914\u0930 5 \u0932\u0921\u093c\u0915\u093f\u092f\u094b\u0902 \u092e\u0947\u0902 \u0938\u0947 \u0915\u093f\u0924\u0928\u0947 \u0924\u0930\u0940\u0915\u094b\u0902 \u0938\u0947 \u091a\u092f\u0928 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948?<\/p>\n\n\n\n

A) 120 ways<\/p>\n\n\n\n

B) 80 ways<\/p>\n\n\n\n

C) 100 ways<\/p>\n\n\n\n

D) 50 ways<\/p>\n\n\n\n

E) \u0907\u0928\u092e\u0947\u0902 \u0938\u0947 \u0915\u094b\u0908 \u0928\u0939\u0940\u0902<\/p>\n\n\n\n

\u092a\u094d\u0930\u0936\u094d\u0928 7: \u092f\u0926\u093f \u0905\u0915\u094d\u0937\u0930\u094b\u0902 \u0915\u0940 \u092a\u0941\u0928\u0930\u093e\u0935\u0943\u0924\u094d\u0924\u093f \u0928\u0939\u0940\u0902 \u0915\u0940 \u091c\u093e\u090f \u0924\u094b \u0915\u093f\u0924\u0928\u0947 3-\u0905\u0915\u094d\u0937\u0930 \u0915\u0947 \u0938\u093e\u0930\u094d\u0925\u0915 \u092f\u093e \u0928\u093f\u0930\u0930\u094d\u0925\u0915 \u0936\u092c\u094d\u0926, ‘COMPUTERS’ \u0936\u092c\u094d\u0926 \u0938\u0947 \u092c\u0928\u093e\u090f \u091c\u093e \u0938\u0915\u0924\u0947 \u0939\u0948\u0902?<\/p>\n\n\n\n

A) 504<\/p>\n\n\n\n

B) 720<\/p>\n\n\n\n

C) 336<\/p>\n\n\n\n

D) 360<\/p>\n\n\n\n

E) 126<\/p>\n\n\n\n

<\/p>\n\n\n\n

\u092a\u094d\u0930\u0936\u094d\u0928 8: \u092a\u093e\u0902\u091a \u0930\u0902\u0917 \u0915\u0947 rings \u0915\u094b \u0926\u094b shelves \u092a\u0930 \u0910\u0938\u0947 \u0935\u094d\u092f\u0935\u0938\u094d\u0925\u093f\u0924 \u0915\u093f\u092f\u093e \u091c\u093e\u0928\u093e \u0939\u0948 \u0915\u093f \u090f\u0915 shelf \u092a\u0930 \u0905\u0927\u093f\u0915\u0924\u092e \u0924\u0940\u0928 rings \u0939\u094b| \u0915\u0941\u0932 \u0915\u093f\u0924\u0928\u0947 \u0924\u0930\u0940\u0915\u094b\u0902 \u0938\u0947 rings \u0915\u0940 \u0935\u094d\u092f\u0935\u0938\u094d\u0925\u093e \u0915\u0940 \u091c\u093e \u0938\u0915\u0924\u0940 \u0939\u0948 ?<\/p>\n\n\n\n

A) 160<\/p>\n\n\n\n

B) 180<\/p>\n\n\n\n

C) 200<\/p>\n\n\n\n

D) 240<\/p>\n\n\n\n

E) 150<\/p>\n\n\n\n

\u092a\u094d\u0930\u0936\u094d\u0928 9: 7 \u0916\u093f\u0932\u093e\u0921\u093c\u093f\u092f\u094b\u0902 \u0915\u0940 \u090f\u0915 \u091f\u0940\u092e \u0915\u094b 6 \u092a\u0941\u0930\u0941\u0937 \u0916\u093f\u0932\u093e\u0921\u093c\u093f\u092f\u094b\u0902 \u0914\u0930 5 \u092e\u0939\u093f\u0932\u093e \u0916\u093f\u0932\u093e\u0921\u093c\u093f\u092f\u094b\u0902 \u0915\u0947 \u0938\u092e\u0942\u0939 \u0938\u0947 \u091a\u0941\u0928\u093e \u091c\u093e\u0928\u093e \u0939\u0948\u0964 \u0915\u093f\u0924\u0928\u0947 \u0924\u0930\u0940\u0915\u094b\u0902 \u0938\u0947 \u0928\u094d\u092f\u0942\u0928\u0924\u092e 5 \u092a\u0941\u0930\u0941\u0937 \u0916\u093f\u0932\u093e\u0921\u093c\u093f\u092f\u094b\u0902 \u0935\u093e\u0932\u0940 \u091f\u0940\u092e \u0915\u093e \u091a\u0941\u0928\u093e\u0935 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948?<\/p>\n\n\n\n

A) 60<\/p>\n\n\n\n

B) 65<\/p>\n\n\n\n

C) 70<\/p>\n\n\n\n

D) 75<\/p>\n\n\n\n

E) \u0907\u0928\u092e\u0947\u0902 \u0938\u0947 \u0915\u094b\u0908 \u0928\u0939\u0940\u0902<\/p>\n\n\n\n

\u092a\u094d\u0930\u0936\u094d\u0928 10: \u092a\u093e\u0901\u091a \u0935\u0938\u094d\u0924\u0941\u090f\u0901 \u091c\u093f\u0928\u092e\u0947\u0902 \u0938\u0947 3 \u0915\u092a \u0939\u0948\u0902 \u0914\u0930 \u0936\u0947\u0937 \u0917\u093f\u0932\u093e\u0938 \u0939\u0948\u0902, \u0915\u094b \u090f\u0915 \u0936\u0947\u0932\u094d\u092b \u092a\u0930 \u0935\u094d\u092f\u0935\u0938\u094d\u0925\u093f\u0924 \u0915\u0930\u0928\u093e \u0939\u0948\u0964 \u0935\u094d\u092f\u0935\u0938\u094d\u0925\u093e \u0915\u0947 \u0909\u0928 \u0924\u0930\u0940\u0915\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u090f \u091c\u093f\u0928\u092e\u0947\u0902 \u0924\u0940\u0928\u094b\u0902 \u0915\u092a \u090f\u0915 \u0938\u093e\u0925 \u0928\u0939\u0940\u0902 \u0930\u0916\u0947 \u0917\u090f \u0939\u0948\u0902\u0964<\/p>\n\n\n\n

A) 80 ways<\/p>\n\n\n\n

B) 72 ways<\/p>\n\n\n\n

C) 60 ways<\/p>\n\n\n\n

D) 84 ways<\/p>\n\n\n\n

E) 64 ways<\/p>\n\n\n\n

<\/p>\n\n\n\n

ANSWER KEYS and SOLUTIONS:<\/h4>\n\n\n\n
1) – A)<\/td>2) – B)<\/td>3) – D)<\/td>4) – B)<\/td>5) – D)<\/td>6) – C)<\/td><\/tr>
7) – A)<\/td>8) – D)<\/td>9) – B)<\/td>10) – D)<\/td> <\/td> <\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

Solution 1: A)<\/p>\n\n\n\n

As Dhoni (Batsman) and Ashwin (Bowler) is always selected,<\/p>\n\n\n\n

So, we have to select only (6 \u2013 1) = 5 batsmen, out of (10 \u20131) = 9 batsmen, and (5 \u2013 1) = 4 bowlers out of (8 \u2013 1) = 7 bowlers.<\/p>\n\n\n\n

So, required number of ways = 9C5 \u00d7 7C4 = 126 \u00d7 35 = 4410<\/p>\n\n\n\n

Hence, option a.<\/p>\n\n\n\n

Solution 2: B)<\/p>\n\n\n\n

The word \u201cIRIDIUM\u201d contains 7 letters with 4 vowels, (3I, R, D, U, and M)<\/p>\n\n\n\n

If vowels comes together, then 4 vowels will behave as a single entity, so, remaining 3 consonants and this entity, a total of 4 letters will arrange themselves in 4! Ways, and 4 vowels (3I and U) will arrange themselves in (4!\/3!) Ways,<\/p>\n\n\n\n

Number of words that can be formed using the letters of the word \u201cIRIDIUM\u201d so that vowels are always together =<\/p>\n\n\n\n

(4!) \u00d7 (4!\/3!) = 24 \u00d7 4 = 96<\/p>\n\n\n\n

Hence, option b.<\/p>\n\n\n\n

Solution 3: D)<\/p>\n\n\n\n

Number of male members = (3\/5) \u00d7 15 = 9<\/p>\n\n\n\n

Number of female members = 15 \u2013 9 = 6<\/p>\n\n\n\n

Required number of ways = 6C1 \u00d7 9C2 + 6C3 \u00d7 9C0<\/p>\n\n\n\n

= 216 + 20 = 236 ways<\/p>\n\n\n\n

Hence, option d.<\/p>\n\n\n\n

<\/p>\n\n\n\n

Solution 4: B)<\/p>\n\n\n\n

Case I: 2 RBI directors and 4 govt. executives are there in the committee<\/p>\n\n\n\n

Total number of ways = 7C2 \u00d7 6C4 = 21 \u00d7 15 = 315<\/p>\n\n\n\n

Case II: 3 RBI directors and 3 govt. executives are there in the committee<\/p>\n\n\n\n

Total number of ways = 7C3 \u00d7 6C3 = 35 \u00d7 20 = 700<\/p>\n\n\n\n

Case III: 4 RBI directors and 2 govt. executives are there in the committee<\/p>\n\n\n\n

Total number of ways = 7C4 \u00d7 6C2 = 35 \u00d7 15 = 525<\/p>\n\n\n\n

So, total number of ways = 315 + 700 + 525 = 1540<\/p>\n\n\n\n

Hence, option b.<\/p>\n\n\n\n

Solution 5: D)<\/p>\n\n\n\n

Case I: 6 batsmen and 5 bowlers are there in the team.<\/p>\n\n\n\n

Number of ways = 8C6 \u00d7 7C5 = 28 \u00d7 21 = 588<\/p>\n\n\n\n

Case II: 7 batsmen and 4 bowlers are there in the team.<\/p>\n\n\n\n

Number of ways = 8C7 \u00d7 7C4 = 8 \u00d7 35 = 280<\/p>\n\n\n\n

So, required total number of ways to select the team = 588 + 280 = 868<\/p>\n\n\n\n

Hence, option d.<\/p>\n\n\n\n

Solution 6: C)<\/p>\n\n\n\n

Required number of ways = 5C2 \u00d7 5C3 = 10 \u00d7 10 = 100 ways<\/p>\n\n\n\n

Hence, option c.<\/p>\n\n\n\n

Solution 7: A)<\/p>\n\n\n\n

Number of letters = 9<\/p>\n\n\n\n

Required number of words = 9P3= 9 \u00d7 8 \u00d7 7 = 504<\/p>\n\n\n\n

Hence, option a.<\/p>\n\n\n\n

SBI PO Prelims Free Mock Test<\/a><\/p>\n\n\n\n

Solution 8: D)<\/p>\n\n\n\n

Number of ways to arrange three rings on one shelf = 5C3 \u00d7 3! = 60 ways<\/p>\n\n\n\n

Number of ways to arrange two rings on second shelf = 2! = 2 ways<\/p>\n\n\n\n

Number ofways to arrange the rings on either of the shelves = 2! = 2 ways<\/p>\n\n\n\n

Total number of possible ways = 60 \u00d7 2 \u00d7 2 = 240<\/p>\n\n\n\n

Hence, option d.<\/p>\n\n\n\n

Solution 9: B)<\/p>\n\n\n\n

Case I: 5 male players and 2 female players are there in the team<\/p>\n\n\n\n

Number of ways = 6C5 \u00d7 5C2 = 6 \u00d7 10 = 60 ways<\/p>\n\n\n\n

Case I: 6 male players and a female player are there in the team<\/p>\n\n\n\n

Number of ways = 6C6 \u00d7 5C1 = 1 \u00d7 5 = 5 ways<\/p>\n\n\n\n

Total number of ways = 60 + 5 = 65 ways<\/p>\n\n\n\n

Hence, option b.<\/p>\n\n\n\n

<\/p>\n\n\n\n

Solution 10: D)<\/p>\n\n\n\n

Since there are 5 articles, total number of ways of arrangement = 5! = 120 ways<\/p>\n\n\n\n

If we consider 3 cups as one article, therefore, number of ways of arrangement of cups among themselves = 3! = 6 ways<\/p>\n\n\n\n

Number of ways of arrangement of remaining three articles = 3! = 6 ways<\/p>\n\n\n\n

Therefore, required number of ways = 120 \u2013 (6 \u00d7 6) = 84 ways<\/p>\n\n\n\n

Hence, option d.<\/p>\n\n\n\n

The practice questions and solutions provided on the linked page are intended solely for educational and exam preparation purposes, designed to help candidates strengthen their understanding of permutation and combination concepts for the SBI PO<\/a> Prelims; however, they should not be considered official exam material, nor do they guarantee accuracy or reflect actual exam questions, and readers are encouraged to cross-check with standard references and official guidelines, as neither the publisher nor contributors assume responsibility for any errors, outcomes, or reliance on the content, which is best used as supplementary practice alongside other trusted resources.<\/p>\n","protected":false},"excerpt":{"rendered":"

This is an important concept. Here are few Permutation & Combination practice Questions & Solutions for SBI PO Prelims<\/p>\n","protected":false},"author":2,"featured_media":66216,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_uag_custom_page_level_css":"","_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"_uf_show_specific_survey":0,"_uf_disable_surveys":false,"footnotes":""},"categories":[49],"tags":[],"class_list":["post-66214","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-sbi-po"],"yoast_head":"\nPermutation & Combination Practice Questions & Solutions for SBI PO Prelims - Practicemock<\/title>\n<meta name=\"description\" content=\"This is an important concept. 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