statistics question help

Question

10!/4!•3!•2!•1!

Answer 1

Are there () in the denominator?

10!/(4!•3!•2!•1!)

[(10)(9)(8)(7)(6)(5)(4)(3)(2)(1)] / [(4)(3)(2)(1)(3)(2)(1)(2)(1)(1)] Simplify

[(10)(9)(8)(7)(6)(5)(4)(3)(2)] / [(4)(3)(2)(3)(2)(2)] Simplify by getting rid of the 1s

[(10)(8)(7)(6)(5)(4)(3)(2)] / [(4)(2)(2)(2)] 9 cancels with 3 and 3

[(10)(8)(7)(6)(5)(4)(3)(2)] / [(4)(2)(2)(2)] 8 cancels with 2,2 and 2

[(10)(7)(6)(5)(4)(3)(2)] / [(4)] The 4s cancel

[(10)(7)(6)(5)(3)(2)] = 12600