
#1
Nov505, 03:47 PM

P: 51

How does ((10n)!)/((8n)!) = (10n)(9n)? I take my 2nd exam tomorrow and I came across this question




#2
Nov505, 03:54 PM

Emeritus
Sci Advisor
PF Gold
P: 5,540

First state the definition of the factorial function, then apply it to (10n)! .




#3
Nov505, 04:02 PM

P: 51

What do you mean by definition?
Do you mean the whole entire equation? If so, it was ((10n)!)/((8n)!) >= 9 then it somehow became (10n)(9n) >= 9 



#4
Nov505, 04:21 PM

P: 51

(10n)!/(8n)! ?
I think I found out, is it because if you expand the factorials out all the way to 0, the (8n),(7n),(6n),(5n),(4n),(3n),(2n),(1n) all cancel out in the numerator and denominator? So (10n) and (9n) is left?




#5
Nov505, 04:21 PM

P: 127

you know the definition of factorial right? (n(n1)...3*2*1) so if you encounter that kind of problem just apply waht you learn from the factorial... Left Side ((10n)!)>> you can right this as ((10n)!)((9n)!)((8n)!)...((1n)!) and ((8n)!)>> you can right this as ((8n)!)...((1n)!) so, if you see ((8n)!) in the numerator and denominator, it cancels out. therefore left side = right side... (10n)(9n) = (10n)(9n) 



#6
Nov505, 04:33 PM

P: 51

Thanks, I was blind to not see it.




#7
Nov505, 04:38 PM

P: 127





#8
Nov505, 04:39 PM

P: 127





#9
Nov505, 04:49 PM

Emeritus
Sci Advisor
PF Gold
P: 5,540





#10
Nov505, 04:54 PM

P: 127





#11
Nov505, 05:36 PM

P: 51

Dont worry, I had an attempt at the solution before, I asked because I got stuck and didn't think to expand it. What I really needed was a quick answer because my final high school maths exam is on tomorrow and it counts towards my score that determines what courses I can get into.
Yeh it was easy lol, I tried to think of the answer last night while going to sleep but was too tired.:D 



#12
Nov505, 05:56 PM

P: 127

lol... can u check my post, see if you can do it?




#13
Nov505, 06:00 PM

P: 51

yeh I can, thanks to both of you:D




#14
Nov505, 06:22 PM

P: 127

can u check if it is correct.., reply on my post, not here...



Register to reply 