How does 12!/10! X 10!/11! x 3!/4! reduce to 12x11/1 x 1/11 x 1/4? Seeing the steps would be helpful.
12!/10! = (12)(11)(10)(9)(8)....(3)(2)(1)/(10)(9)(8)....(3)(2)(1)maggiejdyer wrote:How does 12!/10! X 10!/11! x 3!/4! reduce to 12x11/1 x 1/11 x 1/4? Seeing the steps would be helpful.
= (12)(11) [the blue values cancel out]
10!/11! = (10)(9)(8)....(3)(2)(1)/(11)(10)(9)(8)....(3)(2)(1)
= 1/11 [the blue values cancel out]
3!/4! = (3)(2)(1)/(4)(3)(2)(1)
= 1/4 [the blue values cancel out]
Cheers,
Brent
