Permutations and Combinations for SSC CGL: SSC New Pattern Questions

As we know, the SSC has changed its vendor, and now, EduQuity is responsible for conducting the SSC exams. It has been seen that SSC has asked questions from other topics. In the same way, SSC has asked questions from the permutation and combination topic in the SSC Phase 13 exam. EduQuity’s new pattern questions can be seen in the SSC CGL 2025 Tier 1 exam. Keeping this in mind, we have provided the permutations and combinations for SSC CGL exam. Questions and their solutions have been provided in the form of a PDF that you can download for free. Along with that, we have also provided detailed information on the concepts in some free preparation resources.

PnC for SSC CGL: Topic-wise and Complete Preparation

Solving the topic test is very important if you want to get in-depth knowledge of the individual topic. Below, we have provided the topic tests for each section, including quizzes for current affairs, previous year question papers, and full-length mock tests.

Basic Concept on Permutations and Combinations

Permutations and Combinations are fundamental concepts in the quantitative aptitude section, which is used to check the candidate’s ability to calculate arrangements and selections.

Permutations

A permutation is an arrangement in a definite order of many objects taken some or all at a time.

Formula: nPr = n! / (n-r)! where ‘n’ is the total number of items and ‘r’ is the number of items being arranged.

Combinations

A combination is a selection of items from a group, such that the order of selection does not change the outcome.

For example, choosing 2 fruits from {apple, banana, cherry}:

• {apple, banana} is the same as {banana, apple} → only one combination.

Formula: The number of combinations of choosing r items from a set of n items is given by:

Factorial

The notation n! represents the product of the first n natural numbers, i.e., the product 1 × 2 × 3 × . . . × (n – 1) × n is denoted as n!. We read this symbol as ‘n factorial’. Thus, 1 × 2 × 3 × 4 . . . × (n – 1) × n = n !

1 = 1 !
1 × 2 = 2 !
1× 2 × 3 = 3 !
1 × 2 × 3 × 4 = 4 ! and so on.

We define 0 ! = 1
We can write 5 ! = 5 × 4 ! = 5 × 4 × 3 ! = 5 × 4 × 3 × 2 !
= 5 × 4 × 3 × 2 × 1!

Clearly, for a natural number n
n ! = n (n – 1) !
= n (n – 1) (n – 2) ! [provided (n ≥ 2)]
= n (n – 1) (n – 2) (n – 3) ! [provided (n ≥ 3)]
and so on.

Source: NCERT

SSC CGL Permutation and Combination Questions PDF: Download for Free

Here we have provided the questions on permutations and combinations for SSC CGL exam. Attempt these questions carefully so that you can know the types of questions that can be asked in the SSC CGL Tier 1 exam. Along with that, we have also provided a PDF that you can download for free, in which we have provided the questions in Hindi with a detailed solution. You are advised to first understand the concept behind (provided above) and then try to solve the questions.

Question 1: How many new words can be formed with the word “PAPER” excluding word paper?

A) 120

B) 60

C) 61

D) 59

Question 2: In how many ways can 6 letters be posted in 4 post boxes, if any number of letters can be posted in all of the 4 post boxes?

A) ⁶C₄

B) ⁶P₄

C) 4⁶

D) 6⁴

Question 3: In how many ways the letters of the word ‘EXTENSION’ can be arranged so that all the vowels always come together?

A) 4320

B) 2160

C) 1440

D) 1080

Question 4: How many 10 letter words with or without meaning can be formed by using all the letters of the word ‘TEMPTATION’?

A) 302400

B) 403200

C) 504000

D) 604800

Question 5: In how many ways can the letters of the word ‘CREATIVE’ be arranged so that all the vowels always come together?

A) 360 ways

B) 720 ways

C) 1440 ways

D) 2880 ways

Question 6: A panel of 5 members is to be selected from 8 males and 5 females. In how many ways will the panel having at most 2 females be selected?

A) 1024

B) 904

C) 988

D) 966

Question 7: In how many different ways can the letters of the word ‘MARRIAGE’ be arranged?

A) 11820

B) 12460

C) 13260

D) 10080

Question 8: 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?

A) 120 ways

B) 80 ways

C) 100 ways

D) 50 ways

Question 9: How many words with or without meaning can be formed by using the letters of the word “CATCH”.

A) 360

B) 240

C) 275

D) 325

Question 10: How many 4-digit numbers can be formed from the digits 3, 5, 7, 8, 1 and 9 which are divisible by 5 and none of the digits is repeated?

A) 80

B) 40

C) 60

D) 120

Question 11: In how many ways,can the word EXCEPTION be arranged so that all the vowels come together?

A) 7440

B) 8640

C) 8120

D) 7680

Question 12: 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?

A) 504

B) 720

C) 336

D) 360

Question 13: How many 6-digit numbers can be formed using the digits 1, 2, 1, 2, 1 and 2?

A) 40

B) 30

C) 25

D) 20

Question 14: In how many ways can a team of 7 players be selected from a squad of 16 players?

A) 11440

B) 5720

C) 2860

D) 8008

Question 15: In how many ways can 16 people be seated around a circular table?

A) (16!/2)

B) 16!

C) (15!/2)

D) 15!

Question 16: How many triangles can be formed using 12 non-collinear points?

A) 495

B) 66

C) 220

D) 112

Question 17: How many 4-digit numbers without repetition can be formed from the digits 1, 3, 4, 6, 8 and 9?

A) 60

B) 180

C) 360

D) 120

Question 18: In how many ways, can 4 mangoes be chosen from a bucket of 12 mangoes?

A) 980

B) 385

C) 245

D) 495

Question 19: How many different four-digit odd numbers can be formed using all the digits 2, 3, 4, and 6?

A) 5

B) 9

C) 18

D) 6

Question 20: Number of ways of forming a garland using 12 flowers in:

A) (11!/2)

B) 11!

C) 12!

D) (12!/2)

Attempt Test on Permutations and Combinations for SSC CGL

Above, we have provided the SSC CGL Permutation and Combination Questions with a detailed solution. You should attempt a test on Permutations and Combinations so that you can test your preparation in this topic. This topic can be new for you, or you might know about this topic. In any case, solving these tests is important because the questions in the tests are provided by our experts after a deep analysis of the exam. There are a lot of tests provided for each level: easy, moderate, and hard.

How to find Permutations and Combinations for SSC CGL Tests

Here we have provided steps on how to find permutation and combination tests.

1. Visit the PracticeMock’s website.

2. Sign up if you are a new user or log in if you are an existing user

3. Find and click on the “Tests” tab, provided on the left-hand side

4. Click on the “SSC CGL 2025” provided under the “SSC/Railways”

5. Find and click on SSC CGL Speed Test banner.

6. Unlock all tests, including permutations and combinations for SSC CGL.

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FAQs: Permutations and Combinations for SSC CGL

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