Suppose that first-, second-, and third-place winners of a contest are to be selected from eight students who entered. in how many ways can the winners be chosen?

Question

Sonny Cannon

Mathematics

8 June, 14:00

Suppose that first-, second-, and third-place winners of a contest are to be selected from eight students who entered. in how many ways can the winners be chosen?

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Answers (1)

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Raegan Marsh · Answer 1

As, order is important so we use permutation,

total no. of students = n=8

selected students = r=3

nPr = n! / (n-r) ! = 8! / (8-3) ! = 336 different ways