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# Permutation and Combination Practice Questions

**Practice Questions on Permutation and Combination**

In this page you will find out Permutation and Combination Questions and Answers and Formulas to solve the Permutations and Combinations based Questions. Go through this page to clear whole concepts of Permutation and Combination.

Further on this page, you will get sample questions of Permutation and Combination.

Basic Idea of Permutation & Combination:
Basic idea of permutation is to find the different arrangements of objects in a specific order, while the basic idea of combination is to find the different ways of selecting objects without worrying about the order.

**A**bout Permutation & Combination

Definition of Permutation:
Permutation refers to the arrangement of objects or elements in a specific order. It is the rearrangement of a set of items in a particular sequence.
For Ex, If you have three objects A, B, and C, the permutations of these objects would include ABC, ACB, BAC, BCA, CAB, and CBA.
Formula: ^{n}P_{r}=\frac{n!}{(n - r)!}

Definition of Combination:
Combination refers to the selection of objects or elements without regard to the order or sequence. It is the selection of a subset from a larger set of objects. In combinations, the order of arrangement is not considered. For example, if you have three objects A, B, and C, the combinations of these objects would include ABC, ACB, BAC, and CBA (the same as in permutations). Formula: ^{n}C_{r}\frac{n!}{r!(n-r)!}

**Points to remember**

- There are certain rules that are specified for permutation and combinations. These rules contain formulas and basic know-how which need to be considered while solving questions related to the same. It will help you to understand the concept in a better way and to avoid mistakes in the future. To through the below given rules and formulas for gaining further understanding on the subject:
- The number of all combinations of n things, taken r at a time is:

^{n}C_{r} = n! = n (n – 1) (n – 2) … to r factors.

\frac{(n!)}{(n – r)! r!} - While solving questions on combinations, you should know the below-mentioned formulas:

o ^{n}C_{n} = 1 \text{ and } ^{n}C_{0} = 1

o ^{n}C_{r} = ^{n}C_{(n – r)} - The permutation of n events, taken r at a time, is represented as:

^{n}P_{r} = n(n – 1)(n – 2) … (n – r + 1) = \frac{n!}{(n – r)!} - Key point to know is that the statement questions are chiefly made to check your knowledge to make an equation and then put formulae for it.
- Permutations are used when an issue calls for the number of activities of things as well as various tips are to be calculated.
- Combinations are used when an issue arise for the number of tricks of choosing things along with the order of choice is not to be calculated.

**Below is a Sample Permutation and combination Question and Answer**

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