20 men shake hands with each other. Maximum no of handshakes without cyclic handshakes. Choose the correct choice from the following choices:
A) 190
B) 200
C) 210
D) 220
E) 230

Rationale: "1 st person will shake hand with 19 people 2 nd person will shake hand with 18 people 3 rd person will shake hand with 17 people . . . . . . total no . of handshakes = 19 + 18 + 17 + . . . + 3 + 2 + 1 = 19 * ( 19 + 1 ) / 2 = 190 or , if there are n persons then no . of shakehands = nc 2 = 20 c 2 = 190 answer : a"
Answer: A