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

At the end of a business conference the ten people present all shake hands with each other once. How many handshakes will there be altogether? Correct Answer 45

Given:

At the end of a business conference, the ten people present all shake hands with each other once.

Formula:

Number of Combinations: 

The number of all combinations of n things, taken r at a time is: 

nCr = n! /

Calculation:

Required number of shake hands = 10C2 = (10 × 9) / (2 × 1) = 45.

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