Posted by Anonymous on Friday, February 15, 2013 at 2:06am.
BRILLIANT SCHOLARS ROCKS !
Let's think of the question this way:
Suppose you sit the 6 people around a round table.
Then everybody gives a present to the person on their left.
So everybody has given a present and received a present.
If we change the "arrangement" of the 6 people around the table, we have a different Secret Santa arrangement.
So all we have to do is calculate the number of ways we can sit 6 people around a round table, (or let them form a circle)
that would be 6!/6 = 5! = 120
(I divided by 6. Here is why. If everybody got up and moved one to the right, the order would not change, and we can do that 6 times)
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