SOLUTION: The formula is nCr= n!/r! (n-r)! A basketball coach was criticized in the newspaper for not trying out every combination of players. If the team roster has 11 players, and every p

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Question 1161765: The formula is nCr= n!/r! (n-r)!
A basketball coach was criticized in the newspaper for not trying out every combination of players. If the team roster has 11 players, and every player can play every position, how many 5-player combinations are possible? (Type a whole number.)
I did on my own. 11!/5! (11-5)!. Then I did 11!/5!(6)! That is as far as I got. Tutor: the exclamation point symbol '!' means factorial.
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!





....simplify



...simplify



Answer by MathTherapy(10556)   (Show Source): You can put this solution on YOUR website!

The formula is nCr= n!/r! (n-r)!
A basketball coach was criticized in the newspaper for not trying out every combination of players. If the team roster has 11 players, and every player can play every position, how many 5-player combinations are possible? (Type a whole number.)
I did on my own. 11!/5! (11-5)!. Then I did 11!/5!(6)! That is as far as I got. Tutor: the exclamation point symbol '!' means factorial.
That's the correct setup!

Easiest way to calculate this: , is:  

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