Question 886544
I have combination word problem - 12 people are at a party and they all exchange handshakes.  How many handshakes are exchanged?

Would this be 12! ? Or would that be overcounting and it need to be reduced?

Thank you for your help.
<pre>
All this involves is the number of groups of 2 that can be formed by 12 people, and as person 1 doesn't shake
hands with him/her self, and since person 1 shaking hands with person 2 is the same as person 2 shaking hands
with person 1, order is UNIMPORTANT, thereby leading to the calculation of the combination of 12 persons,
choosing 2, or {{{_[12]C[2]}}}, or {{{highlight_green(highlight_green(66))}}} handshakes.