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# Combination Questions and Answers

**Combination Questions and Answers**

This page contains Combination Questions and Answers to help student get a clear understanding about variety of Questions based on Combinations and its familiar Concepts.

What is Combination ?
Combination is explained as selecting r series which can be finished out of all n events. It is signified by nCr that sequentially is equivalent to \frac{n!}{r!(n-r)!}.
Combinations are said to be as the littered sequence of numbers of set elements.

Example of Combination Theory:
For instance, given the set of alphabets {a,b,c}{a,b,c}, the combinations of size 2 (take 2 essentials from the group) are {a,b}{a,b}, {a,c}{a,c}, as well as {b,c}{b,c}. It is important to know that the sequence of the series is not a matter here as {b,a}{b,a} is deliberated similar as {a,b}{a,b}.

**Rules for Combination Questions and Answers**

- We use combinations if an issue arise for the number of tricks of choosing things along with the series of choice is not to be considered.
- The values of the given combinations of n factors, reserved r at a time is:

^nC_{r} = \frac{n!}{(r!)(n-r!)} = n (n-1)(n-2)… \frac{\text{ to r factors }}{r!} - While solving combinations, when n = r, the value of combinations is constantly equal to 1.

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### Sample Combination Questions and Answers

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