There are 15 persons in a party and each person shake hand with another, then total number of hand s

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6.Permutation and Combination

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There are $15$ persons in a party and each person shake hand with another, then total number of hand shakes is

A

$^{15}{P_2}$

B

$^{15}{C_2}$

C

$15\,!$

D

$2\,(15\,!)$

Solution

(b) Total number of handshakes = $^{15}{C_2}$.

Standard 11

Mathematics

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