Twelve persons meet in a conference and each person shakes hands with all other persons. How many handshakes takes place between persons.?

Twelve persons meet in a conference and each person shakes hands with all other persons. How many handshakes takes place between persons.? Correct Answer 66

Given:

Twelve persons meet in a conference and each shakes hands with all each other

Formula Used:

nCr = n!/r!(n – r)!

Calculation:

To make a one handshake 2 person were required 

Number of ways in which two people are selected 12C2

∴ Number of ways are 12C2 = 12!/2!(12 – 2)! = 66

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