Question

If you have six peoplein a room, and each person shakes hands with every ither person exactly once, how many total handshakes happen? Please explain to me; I`m studying for the Hunter exam that`s tomorrow!!!

Answer 1

36

Answer 2

How`d you do that?

Answer 3

6 people shake hands with 6 people 6 x 6 is 36

Answer 4

Thanks!

Answer 5

no prob

Answer 6

Two people are needed to shake hands. In how many ways can two people be chosen out of 6? 6C2 ways.
6C2 = 6! / {4!2!} = 6.5/2 = 15.

Another way to do this problem:
Assume the 6 people are standing in a row. The first person shakes hands with 5 people down the line. The second person shakes hands with 4 people down the line, etc. So 5+4+3+2+1 = 15.

Answer 7

hey its actually 30

Answer 8

sorry