I know that the answer is 2080, but am unaware of how to get that answer. Please explain each step. Thank you in advance and I appreciate the help.
Thank you all for explaining how to find the answer. It was of great help to me.
Brandon
Favorite Answer
65!/63!(65-63)!
Since 65! is on top and 63! is on the bottom you are basically able to cancel the numbers 1*2*3*4....*63 out since they're on the bottom and top. Leaving 64*65 on top = 4160
Thus,
4160/(65-63)! = 4160/2! = 4160/2 = 2080.
cryptogramcorner
65! = 65 x 64 x 63 x 62 x... x 1
63! = 63 x 62 x 61 x.... x 1
so 65!/63! ends up being just 65 x 64 = 4160
(65 - 63)! is 2! = 2 x 1 = 2
From the answer, I guess that the (65-63)! is meant to be part of the division
4160/2 = 2080
riajaravata
65! is also equal to 65*64*(63!)
So 63! cancels out, and you will be left with (65*64)/(65-63)!
But (65-63)! is also equal to (2)!
So you will be left with (65*64)/2
Which is equal to 2080
kumorifox
n! means (n)(n-1)(n-2)... (3)(2)(1). You can write this as [(n)(n-1)](n-2)!, so 65! = (65)(64)(63!). Thus:
65!/63!(65-63)!
(65)(64)(63!)/(63!)(2!) (simplify)
(65)(64)/2 (cancel)
65Ã32 = 2,080