Question

You are watching a horse race and if you can correctly select the horses that finish...

You are watching a horse race and if you can correctly select the horses that finish first, second, third, and fourth, you can win money (sometimes a lot). How many different bets are possible if there is a field of 17 horses?

Math   Statistics-And-Probability   
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Answer #1

We have a field of 17 horses and we can bet for horses on the first, second, third and fourth positions.

No. of horses which we can bet on for the first place = 17

No. of horses which we can bet on for the second place = 17-1 = 16 [Since, 1 horse has already been bet on for the first place]

No. of horses which we can bet on for the third place = 17-2 = 15 [Since, 2 horses have already been bet on for the first and second places]

No. of horses which we can bet on for the fourth place = 17-3 = 14 [Since, 3 horses have already been bet on for the first, second and third places]

Thus, the total number of different bets possible = 17*16*15*14 = 57120 [ANSWER]

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