How many ways can you deal a hand o 13 playing cards that contains four spades, seven diamonds and two hearts? Leave your answer in factorial form.

Question

I have to answer this question for an online math course and am a bit confused by it. I know how to calculate the exact number of ways, but am a bit confused by the requirement that it be shown in factorial form, just need some extra guidance so I don't mess it up and lose marks.

Answer 1

13!/4!7!2!

n! means n(n-1)(n-2)(n-3)....(1)

4! = 4x3x2x1= 24

2! = 2x1 =2

13! = 13x12x11x10x9x8x7x6x5x4x3x2x1