# Mathematics for Liberal Arts

posted by .

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?

• Mathematics for Liberal Arts -

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!

• Mathematics for Liberal Arts -

opps, type
ways to finish=10*9*8*....= 10!

• Mathematics for Liberal Arts -

• Mathematics for Liberal Arts -

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

• Mathematics for Liberal Arts -

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

• Mathematics for Liberal Arts -

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