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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?

Respuesta :

Answer: There are 45 handshakes will occur.

Step-by-step 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

[tex]^{10}C_2=45[/tex]

Hence, there are 45 handshakes will occur.

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