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- There are 30 people in a party.
Question 1:
There are 30 people in a party. If everyone is to shake hands with one another, how many hand shakes are possible? A. 180
B. 256
C. 386
D. 435
Feedback Total number of persons = n = 30
Shakehands involve only 2 persons = r = 2
Number of shakehands = nCr = 30C2
nCr = (n!)/ r!(n – r)!
= 30! / 2! 28!
= 435
Shakehands involve only 2 persons = r = 2
Number of shakehands = nCr = 30C2
nCr = (n!)/ r!(n – r)!
= 30! / 2! 28!
= 435
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