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31 August, 18:59

The trifecta at most racetracks consists of selecting the first-, second-, and third-place finishers in a particular race in their proper order. if there are eleven entries in the trifecta race, how many tickets must you purchase to guarantee a win?

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  1. 31 August, 21:50
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    Since you have 11 entries, you have 11 possible winners.

    For each winner, you have 10 possible second-place finishers.

    For each pair first-second place, you have 9 possible 3rd place finishers.

    The possibilities are 11*10*9 = 990

    Therefore, you have to buy 990 tickets.
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