Question

Six runners are in a foot race. How many different ways can they come in 1st, 2nd, and 3rd place?

Answer 1

You have 6 choices for first place, 5 for the second (one has already placed first) and 4 for third place. Thus, you have \[6\cdot5\cdot4=120\]ways.

Answer 2

Thank you! :)

Answer 3

You're welcome.

Answer 4

You can also write this as
nPr (order matters) =n!/(n-r)!
n=6
r=3
6!/3!=6*5*4

Answer 5

alright, thank you as well. :)

Answer 6

If you don't understand that, it's ok, you'll learn later on. But if you do, I guess it works too ;)

Answer 7

I understand it alright, it's just some of them I don't haha. But yeah, I shall learn it later on!

Answer 8

:)