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

- 7
- 9
- 11
- 13

**Solution**

Let members attended the board meeting = n

Number of handshakes = ^{n}C_{2 }

= n × (n-1)/2 = 78

Solving, n = 13

**The correct option is D.**