Mathematics for Liberal Arts
posted by Jeannie on .
How many different results could there be for 10 political candidates running for the same office in the upcoming election?
There can only be 10 different results, only one person can win.
how would i set this up?

I am uncertai what you want. If there is only one office, then any of the ten can win, and so, there are 10 possible results.
Now if you are wanting to see how many different ways 1st, 2nd, 3rd place and so on, then
waystofinish= 109*8*....= 10! 
opps, type
ways to finish=10*9*8*....= 10! 
the answer is 10!?

Reread my comments. the answer is 10! if you are looking to sort the applicants into 1st,second,and so on.

ok I see what bob is saying but you looking for how many different possibilities there are.

how many different combinations huh? ok I agree with bob and that's a rather large number