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How many ways can a teacher give five different prizes to five of her 23 ​students?

How many ways can a teacher give five different prizes to five of her 23 ​students?

Math   Statistics-And-Probability   
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Answer #1

here order of selection is important, so we will use permutation.

Number of ways to give 5 different prizes = 23P5 = 23! / (23 - 5)! = 4037880

                                                                       

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