# 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!

## Understanding Permutation Combination

Before we delve into the specific role of permutation and combination in the CAT exam, let’s embark on a journey to uncover the marvels of these mathematical concepts. Permutation and combination are like the artists of arrangement and selection, providing a systematic way to count and organize objects. They empower you to explore the numerous ways things can be arranged and selected.

Now, let’s unveil how permutation and combination play a pivotal role in the CAT exam. Here’s why they are essential to master:

• Problem Solving: Many CAT questions, especially those involving seating arrangements, selections, and allocations, require a solid understanding of permutation and combination.

• Data Interpretation: Permutation and combination concepts often appear in data interpretation questions, where you need to analyze data and make calculations.

• Logical Reasoning: These mathematical tools can pop up in logical reasoning questions, where they challenge your analytical thinking and strategic problem-solving.

Don’t let permutation and combination remain a mathematical puzzle; let them become your keys to unlocking countless possibilities on your journey to mastering the CAT exam. Join Quantifiers today and convert these principles into your road to discovering the exam’s unlimited possibilities and beyond!

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## Practice Questions for CAT with Solutions

### 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?

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

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)

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)

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:

50

## 6. CAT - Permutation & Combination

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

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?

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?

384

#### 9. CAT - Permutation & Combination

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

294840

#### 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?