The Cleveland Cavaliers and GCU Basketball decide to play together for a charity basketball game. Assume...
The Cleveland Cavaliers and GCU Basketball decide to play together for a charity basketball game. Assume each team has 8 members who agree to participate in this charity match. How many unique combinations of 5 player teams can be made from this group?
Homework Answers
Solution :
n C x = n! / x!(n - x)!
n! = n(n - 1)(n - 2) .... and so on .
n = 8 and x = 5
8 C 5 = 8! / 5!(8 - 5)! = 8! / 5!(3)! = 56
56 unique combinations of 5 player teams can be made from this group .
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