In how many ways can four hearts be drawn from a deck of cards? (Order is not important.)

I know it is a combination and that the answer is 715, but I just need help on how to get that answer.

Question

In how many ways can four hearts be drawn from a deck of cards? (Order is not important.)

I know it is a combination and that the answer is 715, but I just need help on how to get that answer.

geerky42 · Answer

Ok, so you have to choose 4 hearts from total of 13 hearts in deck of cards, right?$$\binom {13} {4}=\dfrac{13!}{4!(13-4)!} =\dfrac{13!}{4!~9!}  =\boxed{715}$$

anonymous · Answer

Thank you so much! It makes sense now!

geerky42 · Answer

No problem.