At the end of a conference, the 10 people present all shake hands with each other once. How many handshakes will there be altogether?

At the end of a conference, the 10 people present all shake hands with each other once. How many handshakes will there be altogether?

Explanation

To calculate the total number of handshakes:

Each person shakes hands with 9 others.

There are 10 people, so it seems like there would be 10 x 9 = 90 handshakes.

However, this counts each handshake twice (once for each person involved).

To correct this, divide the total by 2:

90 / 2 = 45