In a party every person shakes hands with every other person.

In a party every person shakes hands with every other person. If there were a total of 105 handshakes in the party then what is the number of persons present in the party ?

Quiz

Answer/Solution

15

Steps/Work

Explanation :
Let the number of persons be n
∴ total handshakes = nC2 = 105
n(n-1)/2 = 105 ∴ n = 15
Answer : A

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In a party every person shakes hands with every other person. If there were a total of handshakes in the party then what is the number of persons present in the party?

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