Correct Answer - Option 3 : 45
Given:
The total number of persons at the party is 10.
Formula used:
The formula for the number of handshakes possible with various people say “n” can be solved by a formula \({n × (n - 1) \over 2}\).
This is because that each of the "n" numbers of people can shake hands with "(n - 1)" people and they will not shake their own hand.
The handshake between two people cannot be counted twice.
Calculation:
As the total number of persons in the party is 10.
⇒ The total number of handshakes when each one of the persons shakes had with other exactly once =
⇒ \({10 × (10 - 1) \over 2}\)
⇒ \({10 × 9 \over 2}\)
⇒ 45
∴ The total number of handshakes is 45.
.n×(n−
