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At horse-racing tracks, the trifecta is a wager where you win if you correctly pick the...

At horse-racing tracks, the trifecta is a wager where you win if you correctly pick the first 3 horses to finish the race in exact order. Another wager, the superfecta box, is a bet where you win if you select the first 4 horses to finish the race in any order. If 13 horses are entered in today’s race, then how many possibilities do you have in making each one of these wagers?

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Since the ordering of the 3 horses is important, number of possibilities in trifecta is,

  

Since the ordering of the 4 horses is not important, number of possibilities in superfecta is,

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