Question

There is exactly one hand shake exchanged between every 2 people. How many handshakes are exchanged among 8 people?

Answer 1

Given :  There is exactly one hand shake exchanged between every 2 people.

To find : How many handshakes are exchanged among 8 people?

Solution:

Total People = 8

People required for 1 hand shake = 2

Order of selection of people does not matter as

A shaking hand with B or B shaking hand with A is same thing

Number of ways 2 people can be selected out of 8 people

= ⁸C₂

= 8 * 7 / 2

= 28

28 handshakes are exchanged among 8 people

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Answer 2

__________Answer is 28. ________