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Permutation under Restriction

Eight members...

Question

Eight members of a group shake hands with one another once. How many shakes were done altogether?

A

64

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B

16

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C

28

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D

18

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Solution

The correct option is B $28$
Number of hand shakes $= {^{8} C}_{2} = \frac{8 \times 7}{2} = 28$

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