A man has five friends In how many ways can he invite one or more of them ........

Quantitative Aptitude ( CCS) Permutation & Combination

A man has five friends. In how many ways can he invite one or more of them?

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He can invite one or more friends by inviting 1 friend or 2 friends or 3 friends or 4 friends or all the 5 friends.

1 friend can be selected out of 5 in 5C1 = 5 ways

2 friends can be selected out of 5 in 5C2 = 10 ways

3 friends can be selected out of 5 in 5C3 = 10 ways

4 friends can be selected out of 5 in 5C4 = 5 ways

5 friends can be selected out of 5 in 5C5 = 1 way

Therefore the required number of ways (combinations) = 5 + 10 + 10 + 5 + 1 = 31ways

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