There are 40 persons in a palace. If every person shakes hands with every other person, what will be the total number of handshakes?

Correct option is A

Given:
40 persons in a palace.

Formula Used:
Total handshakes =$$\frac{n(n-1)}{2}$$, where n = no. of persons

Solution:
Total handshakes = $$\frac{40(40-1)}2 = 40 \times \frac{39} 2 = 780$$​

Thus the total no. of handshakes are 780.