If there are 12 persons in a party and if each two of them shake hands with each other how many hand...........

Quantitative Aptitude ( CCS) Permutation & Combination

If there are 12 persons in a party, and if each two of them shake hands with each other, how many handshakes happen in the party?

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Explanation:

With 12 people (or 12 elements in a set), we need to choose a subset of two different "elements" where order does not matter.
Also, we need to choose all such subsets because each person is shaking hands with everyone else exactly once.
The number of ways is=>12_C2=12!/10!2!=66