In a race in which 10 automobiles are answered and there are no ties, in how many ways can the first three finishers come in ?

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11-07-2017
Mathematics

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In a race in which 10 automobiles are answered and there are no ties, in how many ways can the first three finishers come in ?

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VanillaAngelic VanillaAngelic · Answer 1 · 2017-07-11T05:17:41+02:00

Okay... so we have three places the automobiles can come in.

_ _ _

Now, how many automobiles have a chance of being in first place?

10.

Now, how many automobiles have a chance of being in second place now that the first place slot is taken?

9.

Now, how many automobiles have a chance of being in third place if the first and second place slots are taken by one automobile?

8.

Now multiply the numbers together to find the number of situations.

10 x 9 x 8 = 720.