Question

Twelve persons meet in a conference and each shakes hands with all the others. how many handshakes take place?

Answer 1

The number of hand shakes is given by 12C2(12 people shake hand 2 at a time)
=12!/{2!×(12-2)!}
=12×11/2
=66
HOPE THIS HELPS!!!!!

Answer 2

66 Handshakes will take place if 12 persons meet in a conference and each shakes hands with all the others

Step-by-step explanation:

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

To make a hand shake 2 people are required

Number of ways 2 people can be selceted out of 12

are ¹²C₂  

= 12!/(10! * 2!)

= 12 * 11 * 10 !/( 10 ! * 2)

= 12 * 11/2

= 6 * 11

= 66

66 Handshakes will take place

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