Question

There are 3 people at a party. If each person must shake hands with every other person at the party exactly once, how many handshakes will there be?

Answer 1

The total number of handshakes that would happen between the three people are:

3

Explanation:

There are three people at a party.

Let they be denoted by A,B and C.

Now, the total number of handshakes that would occur will be denoted by:

AB, AC and BC

where AB denotes that A and B shake hands.

AC denote that A and C shake hands.

and BC denote that B and C shake hands.

Hence, total number of handshakes are:

3