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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?

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Answer #1

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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