How many different ways can the dogs finish 1st 2nd and 3rd, Mathematics

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How many different ways can the dogs finish 1st 2nd and 3rd

At the dog track, you notice that there are 10 dogs racing. you place a bet that you can guess the top three finishers of the race in the exact order that they come in.

a) how many different ways can the dogs finish 1st, 2nd, and 3rd place?

b) what is the probability that you win your bet if you select your three dogs at random?

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