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April 11th, 2015, 12:07 AM  #1 
Newbie Joined: Apr 2015 From: australia Posts: 1 Thanks: 0  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 Dumbo 
April 11th, 2015, 07:54 AM  #2 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,934 Thanks: 1128 Math Focus: Elementary mathematics and beyond 
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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