SOLUTION: A party has 6 different door prizes. If there are 42 guests at the party and nobody can win more than one prize, how many ways are there to give out the prizes?

Question 534195: A party has 6 different door prizes. If there are 42 guests at the party and nobody can win more than one prize, how many ways are there to give out the prizes?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A party has 6 different door prizes. If there are 42 guests at the party and nobody can win more than one prize, how many ways are there to give out the prizes?
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1st prize: 42 ways
2nd prize: 41 ways
...
6th prize: 37 ways
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Ans: 42P6 = 42!/(42-6) = 42!/36! = 42*41*40*39*38*37 = 3,776,965,920 ways
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Cheers,
Stan H.
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