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April 11th, 2015, 12:07 AM   #1
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help with sports stats

Hi all
I'm not all that good with trying to work out the formula I need to get my answer.
If there are 18 football teams in a league and at the end of the year they are all in a certain finishing position on the ladder from 1 to 18, how many combinations are there to consider?

I would love the answer, but would also like an explanation or formula to work this and other similar scenarios out on my own.

Thanks in advance
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April 11th, 2015, 07:54 AM   #2
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18 * 17 * 16 * 15 * ... 4 * 3 * 2 * 1 = 6402373705728000.

The expression on the left is usually written as 18!, with the '!' denoting what is called a "factorial". E.g:, 4! (pronounced "four factorial") is 4 * 3 * 2 * 1.

The result you seek is 18! since there are 18 choices for first place, 17 choices for second place, 16 choices for third place and so on.
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