In a party every person shakes hand with every other person If there was a total of 210 handshakes i...........

Quantitative Aptitude ( CCS) Permutation & Combination

In a party every person shakes hand with every other person. If there was a total of 210 handshakes in the party, find the no. of persons who were present in the party.

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Explanation:

For each selection of two persons, there will be one handshake.
Hence, no. of handshakes in the party = nC2, where n = the number of persons
Acc. to Question:-
nC2 = 210
'or' n(n-1)/2 = 210
'or' n = 21