Question

David is the president of the his student council. When the leadership team met for the first time,he asked each person to shake everyone else's hand if there were six people at this meeting how many handshakes were made

Answer 1

I believe it would be 30 total handshakes because there's 6 people and they all must shake hands with 5 other people (they can't give themselves a handshake) and 5 multiplied by 6 is 30

Answer 2

Answer:

There will be 15 handshakes.

Step-by-step explanation:

David is the president of the his student council. He asked each person to shake everyone else's hand.

Total number of people in the meeting = 6

Let us assume that no two people shake hands if they've already shaken them once.

The first person will shake hands with 5 persons.

The second will hand shake with 4 persons.

The third will shake hands with 3 persons and so on.

So, total handshakes will be = $5+4+3+2+1$ = 15

Therefore, there will be 15 handshakes.