Question 1017824: there 11 players in a soccer team. determine how many complete teams can be chosen from 50 players
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! there 11 players in a soccer team. determine how many complete teams can be chosen from 50 players
50/11 = 4.5454... teams --> 4 complete teams.
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If you meant how many ways a team can be made:
The 1st choice is 1 of 50.
Then 1 of 49, then 48, etc.
--> 50*49*48*47*46*45*44*43*42*41*40
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But choosing players A, B, C ... K is the same as A, K, C, B... --> 11*10*9*8... different ways to choose any 11 players.
--> 50*49*48*47*46*45*44*43*42*41*40/11!
= (50!/39!)/11!
= 39916800 ways
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