Question

Ten athletes are running a 100 meter race. In how many different ways can the first three places be filled?

Answer 1

do you know how to use "n choose r"

Answer 2

no you need to use permutations

Answer 3

Yes, permutations

Answer 4

so use them :D

Answer 5

that would be nPr. this would be 10P3

Answer 6

I'm not sure how to in this question.

Answer 7

10 * 9 * 8 y0

Answer 8

total number 10, first three places is 3 and then go to your calculator

Answer 9

Ah Ok... Thank you!

Answer 10

First place can be held by any one of the 10.

Nine people remain.

Now second place can be held by any of the 9.

8 people remain.

Now third place can be held by any of the 8.

Therefore: 10 * 9 * 8