Question 146039: Use either the fundamental counting principle or the permutation formulas (or both) to answer the following:
The Board of Directors does not have assigned seats in the conference room. If there are 12 of them, seated at a round table, how many different seating arrangements are possible?
Answer by BrittanyM(80)   (Show Source):
You can put this solution on YOUR website! As soon as we realize how permutations work, this problem is actually quite simple. We have 12 items to work with, and because arrangement DOES matter, we know that we must use permutation.
All this is is
12!
Which basically means
12 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
so we now know that there are 479001600 different ways that the 12 members can be seated.
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