Ridiculously-stated question. What is meant by "the top two horses"? There can only be TWO "top two" ; if they are horses A and B, then they can finish in the order A and B, or B and A - that makes just two ways they could finish.
If it means "how many different pairs of horses can be chosen from 12 runners, then the answer is 132 ; any one of the 12 horses can be in first place, which leaves any of the remaining 11 to take second place. So number of ways the first two places can be filled is 12 x 11 = 132.
In horse racing, a “quinella” is similar to an exacta but order doesn’t matter. You pick the top two horses and they could finish in any order. In a 12-horse race, calculate the number of ways the top 2 horses could finish using the fundamental principle of counting
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Ridiculously-stated question. What is meant by "the top two horses"? There can only be TWO "top two" ; if they are horses A and B, then they can finish in the order A and B, or B and A - that makes just two ways they could finish.
If it means "how many different pairs of horses can be chosen from 12 runners, then the answer is 132 ; any one of the 12 horses can be in first place, which leaves any of the remaining 11 to take second place. So number of ways the first two places can be filled is 12 x 11 = 132.
12 horses could come in first but since the first one can't also be the second place one, only 11 possibilities for second.
So by the counting principle there are 12 • 11 ways.
In horse racing, a “quinella” is similar to an exacta but order doesn’t matter. You pick the top two horses and they could finish in any order. In a 12-horse race, calculate the number of ways the top 2 horses could finish using the fundamental principle of counting
^ Full question. Please help, thanks.