There are 6 people at a party. if each person must shake hands with other every other person at the party exactly once how many handshakes will there be

If six people all shake hands with each other, how many hand shakes were made in total?

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I assume that no two people shake hands if they've already shaken them earlier, irrespective of who initiated it.

In that case Guest 1 will shake hands with 5 others (Guest 2 to 6)

Guest 2 will shake hands with 4 others (Remember she's already shaken hands with Guest 1).

Guest 3 will shake hands with 3 others (having already shaken hands with Guest 1 and 2)

and so on

We end up with 5+4+3+2+1 handshakes or 15 handshakes in all!

Step-by-step explanation:

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15 handshakes

Step-by-step explanation:

the 1st person shakes hands with 5 people

the 2nd person shakes hands with 4 people

the 3rd person shakes hands with 3 people

the 4th person shakes hands with 2 people

the 5th person shakes hands with 1 person

the 6th person shakes hands with no one

5+4+3+2+1=15

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step-by-step explanation:

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