Question

A conference is attended by 25 participants. If each participant shakes hand with every
other participant, what will be the resultant number of handshakes?​

Answer 1

Answer:

132

Step-by-step explanation:

Answer 2

Given,

A conference is attended by a total of 25 participants.

They all began to shake hands with every other participant.

To Find,

The number of total handshakes in there.

Solution,

There are 25 people at the conference.

They've all begun shaking hands.

As a result, they will shake hands with everyone but themselves.

In other words, every person will shake hands with (25-1)=24 persons.

So on the first look, the number will be, 25×24.

But in that approach, we are counting all twice. Like the 24th person is shaking hands with 25th, again also 25 with 24th but that is quite the same thing.

In simple words, in every handshake, two persons are involved.

So total handshakes will =25×24× $\frac{1}{2}$=300.

Hence, the resultant number of handshakes will be 300.