Step-by-Step Learning for CAT 2025 & 2026

Unlock Counting Tricks with CAT Permutation and Combination Practice Questions

1. CAT - Permutation & Combination

In how many ways 10 identical balls be distributed among 5 kids such that all of them get at least one ball and no one receives more than 4 balls?

Correct Answer

101

2. CAT - Permutation & Combination

There are 15 identical chairs placed in a row. In how many ways can 4 persons bers seated, each person occupying 1 chair, such that there are atleast 2 empty chairs between any two persons

Correct Answer

3024

3. CAT - Permutation & Combination

The number of groups of three or more distinct numbers that can be chosen from 1,2, 3, 4, 5, 6, 7 and 8 so that the groups always include 3 and 5, while 7 and 8 are never included together is (CAT 2021)

Correct Answer

47

4. CAT - Permutation & Combination

The number of ways of distributing 15 identical balloons, 6 identical pencils and 3 identical erasers among 3 children, such that each child gets at least four balloons and one pencil, is: (CAT 2021)

Correct Answer

1000

5. CAT - Permutation & Combination

A four-digit number is formed by using only the digits 1, 2 and 3 such that both 2and 3 appear at least once. The number of all such four-digit numbers is:

Correct Answer

50

6. CAT - Permutation & Combination

How many integers in the set {100, 101, 102, …, 999} have at least one digit repeated? (CAT 2020)

Correct Answer

252

7. CAT - Permutation & Combination

Find the number of ways in which 179 identical oranges can be distributed into 18 identical boxes such that each box contain different number of oranges not more than 20 and no box is empty?

Correct Answer

5

8. CAT - Permutation & Combination

In how many ways can we select 3 different numbers from 1 to 20 such that their sum is divisible by 3?

Correct Answer

384

9. CAT - Permutation & Combination

How many 6 digit numbers are there, having exactly 4 distinct digits?

Correct Answer

3285

10. CAT - Permutation & Combination

In how many ways can 10 couples play a mixed doubles match such that no couple can be in the same team?

Correct Answer

3285

Understanding Permutation & Combination

Permutation and Combination, often considered the mathematical magic behind arrangements and selections, hold the key to your success in the CAT exam. At Quantifiers, we’re here to unveil the spellbinding world of permutation and combination, making it not just understandable but a journey filled with endless possibilities. Join us as we explore these intriguing mathematical concepts and discover how they can become your secret to mastering the CAT exam!

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best CAT Coaching

We at Quantifiers understand and deliver on the personal attention each of our students requires. Whether it is through our pedagogy that enables non-engineers or non-math background students, our constant effort to proactively provide solutions, or our focus on our student’s goals.

best CAT Coaching

We at Quantifiers understand and deliver on the personal attention each of our students requires. Whether it is through our pedagogy that enables non-engineers or non-math background students, our constant effort to proactively provide solutions, or our focus on our student’s goals.