SOLUTION: From a group of 30 contestants, six are to be chosen as semifinalists, then two of those are chosen as finalists, and then the top prize is awarded to one of the finalists. In ho

Algebra ->  Probability-and-statistics -> SOLUTION: From a group of 30 contestants, six are to be chosen as semifinalists, then two of those are chosen as finalists, and then the top prize is awarded to one of the finalists. In ho      Log On


   



Question 475938: From a group of 30 contestants, six are to be chosen as
semifinalists, then two of those are chosen as finalists, and
then the top prize is awarded to one of the finalists. In how
many ways can these choices be made in sequence?
thankyou! :)

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
From a group of 30 contestants, six are to be chosen as
semifinalists,::: 30C6 = 593775 ways
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then two of those are chosen as finalists:::6C2 = 15 ways
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then the top prize is awarded to one of the finalists:: 2 ways
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Cheers,
Stan H.