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Published on April 23, 2023 2:06:12 PM ● Video Link: https://www.youtube.com/watch?v=jfyoqC_nyYQ

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There are 10 horses in a race. You have to pick the top three finishers in the correct order. How many different possible combinations of top three finishers are there?

There are 720 different possible combinations of top three finishers in the race.

To calculate this, we use the formula for permutations with repetition, which is:

n^r, where n is the number of options and r is the number of selections

In this case, there are 10 horses to choose from for the first position, 9 horses left to choose from for the second position (since one horse has already been chosen for the first position), and 8 horses left to choose from for the third position. So the total number of possible combinations is:

10 x 9 x 8 = 720

Therefore, there are 720 different possible combinations of top three finishers in the race