Exams › SSC CGL (Prelims) › General

In a room of 8 people, how many different handshakes are possible if each person shakes hands once with every other person?

1. 21
2. 24
3. 28
4. 32

Correct answer: 28

Solution

Each handshake is a unique pair of people. The number of pairs among 8 people is ${8 \choose 2} = \frac{8\times7}{2} = 28$.

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