SOLUTION: Factorials 10!11! ------ 9!14! I understand what a factorial is. I'm just confused as to whether this means "10 factorial times 11 factorial" or not. (no signs) Also, i

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Factorials 10!11! ------ 9!14! I understand what a factorial is. I'm just confused as to whether this means "10 factorial times 11 factorial" or not. (no signs) Also, i      Log On


   

Question 830254: Factorials
10!11!
------
9!14!
I understand what a factorial is. I'm just confused as to whether this means "10 factorial times 11 factorial" or not. (no signs)
Also, is there an easier way to do it rather than multiplying the large numbers?
IOW, can I subtract and then multiply the smaller numbers?
(I tried this and get 10/2184, or 0.004579)
Answer by JulietG(1812) About Me  (Show Source):
You can put this solution on YOUR website!
Not quite subtract as you have done, because it is the factors at the big end that are left.
Write 14! as 14·13·12·11! and 10! as 10·9!:
10·9!·11!
----------------------------
9!·14·13·12·11!
You can cancel and get:
10
-------------
14·13·12
= 5/1092