# Permutation and Combination CAT Questions – Concepts Important Formulas | Download Sample Questions PDF

By BYJU'S Exam Prep

Updated on: September 13th, 2023

Permutation and Combination CAT Questions are very interesting as the aspirants can relate these to real-life situations. Basically, Permutation and Combination are the methods to depict a group or a group of objects in a set. It defines the ways of selection & arrangements in a certain group. So, the main thing is that when we select the data from the group, it is known as a combination, while the order in which they are represented is known as permutation.

Permutation and Combination have a direct application in probability. The aspirants can expect 2-3 Permutation and Combination CAT Questions for CAT. These questions are easier if you are well-versed in the basics, formulas, and concepts. In this article, BYJU’S Exam Prep Experts have explained Permutation and Combination CAT Questions, including the concepts, formulas, and tips to attempt the questions.

## What are CAT Permutation and Combination Questions?

As per the mathematical concept, permutation is related to the process of arranging the members of one group into a specific order or sequence. In other words, if the set is already arranged, then the rearrangement of the members is called a permutation. The permutation process is the arrangement of ‘r’ things from one set without replacement. So, the thing is, order matters a lot in the permutation process.

• nPr= n!/(n-r)!

On the contrary, the combination is the process of selecting the items from a collection of members. In smaller cases, you can count the combination number. It can be said that combination is the selection from ‘n’ objects taken ‘r’ at a time without any repetition. So, the combination is the choice of ‘r’ thing from a set of ‘n’ things without any type of replacement. Thereby, the order is not important in combination.

• nCr = n!/(n-r)!r! = nPr /r!

☛ Also Check: CAT Syllabus

## Factorial in Permutation and Combination CAT Questions

Before knowing the formulas for Permutation and Combination Questions for CAT, the aspirants must know the concept of Factorial. It is important to note the concepts of Permutation and Combination CAT Questions. The factorial of a number ‘n!’ is defined as the product of first ‘n’ natural numbers. It means

• n! = 1x2x3x4x5x6x……………….x(n-2)x(n-1)xn
• 1! = 1
• 2! = 1×2 = 2
• 3! = 1x2x3 = 6
• 4! = 1x2x3x4 = 24
• 5! = 1x2x3x4x5 = 120

So the main thing to be remembered related to Permutation and Combination CAT Questions is that:

Note: 0! is always equal to 1 (The factorial of a number can never be negative, and Factorial is defined only for whole numbers)

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