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?

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

                                    3

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

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