Permutations And Combinations Question 97

Question: Everybody in a room shakes hand with everybody else. The total number of hand shakes is 66. The total number of persons in the room is [MNR 1991; Kurukshetra CEE 1998; Kerala (Engg.) 2001]

Options:

A) 11

B) 12

C) 13

D) 14

Show Answer

Answer:

Correct Answer: B

Solution:

  • $ ^{n}C_2=66\Rightarrow n(n-1)=132\Rightarrow n=12 $ .