Question

There are 10 people in a room, including you. Each person in the room must shake hands one at a time, and only that one time, with all the other people in the room. (no two people shake hands more than once). How many handshakes will occur?

Answer 1

Answer: There are 45 handshakes will occur.

Explanation:

Since we have given that

Number of people in a room = 10

We need to find the number of handshakes that would occur.

Number of hands in each handshake require = 2

We will apply "Combination":

So, number of possible handshakes would be

`^(10)C_2=45`

Hence, there are 45 handshakes will occur.