SOLUTION: Now this is really a challenging question and I am lost. At an annual flower show, 7 different entries are to be arranged in a row. a) how many different arrangements of the

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Question 211662: Now this is really a challenging question and I am lost.
At an annual flower show, 7 different entries are to be arranged in a row.

a) how many different arrangements of the entries are possible?
b) If the owners of the 1st, 2nd, and 3rd place entries will be awarded prizes of $100, $50, and $25 respectively, how many ways can the prizes be awarded?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
At an annual flower show, 7 different entries are to be arranged in a row.
a) how many different arrangements of the entries are possible?
Ans: 7! = 7*6*5*4*3*2*1 = 5040
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b) If the owners of the 1st, 2nd, and 3rd place entries will be awarded prizes of $100, $50, and $25 respectively, how many ways can the prizes be awarded?
Ans: 7P3 = 7!/(7-3)! = 7*6*5 = 210
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Cheers,
Stan H.