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Numerically Greatest Term

In a conferen...

Question

In a conference of 8 persons, if each person shake hand with the other one only, then the total number of shake hands shall be

A

64

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B

56

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C

49

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D

28

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Solution

The correct option is D
28

Total number of shake hands when each person shake hands with the other once only = $^{8} C_{2}$ ways

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