Question

If 15 people greet each other at a meeting by shaking hands with one another, how many handshakes take place?

Answer 1

There are 105 handshakes that take place at the meeting.

To find the number of handshakes, we can use a formula that counts the number of combinations of two items from a set of n items.

The formula is:

`n * (n - 1) / 2`

In this case, n is the number of people, which is 15.

So, we plug in 15 into the formula and get:

`15 * (15 - 1) / 2`

Simplifying, we get:

`15 * 14 / 2`

Multiplying, we get:

`210 / 2`

Dividing, we get:

`105`