Question

How many different ways could 6 runners finish in 1st 2nd 3rd places in a race?

How many different ways could 6 runners finish in 1st 2nd 3rd places in a race?

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Answer #1

three persons who are in the first 3 positions can be selected in 6C3 ways

further these 3 can be arranged in 3! ways among themselves

Hence total possible ways = 120

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