Permutations And Combinations Question 92

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 [MP PET 1984]

Options:

A) 64

B) 56

C) 49

D) 28

Show Answer

Answer:

Correct Answer: D

Solution:

  • Total number of shake hands when each person shake hands with the other once only = $ ^{8}C_2=28 $ ways.

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