There are 102 people consisting of 51 married couples in a r

There are 102 people consisting of 51 married couples in a room. Assuming that no husband or wife shake each others’ hand, but everyone else shakes hands exactly once, how many handshakes are made?

Solution

102 people, 51 male, 51 female.

handshakes= (51x101) males + (51x101) females

handshakes= 5151 + 5151

handshakes= 10302

will be 10302 handshakes.