Answer:
19,769,460,480
Step-by-step explanation:
I presume what you're asking for is this [tex]\frac{23!}{15!}[/tex]. Well, the factorial function takes an argument and then produces a product of all the numbers up to that of the given argument.
For example 23! = 1*2*3*4*5*6*7*8*9*10*11*12*13*14*15*16*17*18*19*20*21*22*23
and 15! = 1*2*3*4*5*6*7*8*9*10*11*12*13*14*15.
But hey, note that since both these numbers are multiples of 15, we can divide both numerator and denominator of [tex]\frac{23!}{15!}[/tex] by 15. In fact every number between 1 and 15 is a factor of both numerator and denominator so we can divide both by 15!. This would leave only a 1 in the denominator and the product 16*17*18*19*20*21*22*23 in the numerator.
16*17*18*19*20*21*22*23 = 19,769,460,480
