7 people meet and shake hands with one another, how many
handshakes occur?

Answer Posted / sahas

7 people ... U need two people for one handshake.

Using nCr Combination formula = n! / { (n-r)!r! }

i.e, 7C2 = 7! / {(7-2)! 2!}

= 7*6*5*4*3*2*1 / {(5*4*3*2*1)*(2*1)}
= 7*6 /{(2*1)}
=21

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