In the board meeting of a FMCG Company, everybody present in the meeting shakes hand with everybody else

In the board meeting of a FMCG Company, everybody present in the meeting shakes hand with everybody else. If the total number of handshakes is 78, the number of members who attended the board meeting is

  1. 7
  2. 9
  3. 11
  4. 13

Solution

Let members attended the board meeting = n

Number of handshakes = nC2

= n × (n-1)/2 = 78

Solving, n = 13

The correct option is D.