please help..

[ryan_kidz]

Among the following (a) 100! (b)50! x 50! and (c) 60! x 40!
Which one is the largest, whix one is in the middle and which one is in the smallest!

thnx..

 

[nic_pham]

100! is the largest
6!*4! is the middle
and 5!*5! is the smallest

 

[ryan_kidz]

heh? not like that dude! and also plz show me the step!!

by the way i'm asking about 100! , 50! x 50! and 60! x 40! not 5! x 5!, 6! x 4!

 

[happy]

At least he attempted.

First, do you know what "!" means? It means factorial so 100!= 100*99*98 etc..

50! x 50! = 50*49*48 etc... x 50*49*48 etc..


and 60! x 40!= 60*59*58 etc... x 40*39*38

Got it?

 

[ryan_kidz]

yeah.. i know ! means factorial.
but how do u know which one is the biggest, in the middle and the smallest 100! or 50! x 50! or 60! x 40!
that's not a good idea if u factorize 100! from 100 x 99 x 98..til x 1 and also that problem would be so easy if u used calculator. but i need the matematic method! i mean by using formula or pattern or something.
PLZ SHOW ME THE STEPS!

Thnx a lot!

 

[Gene]

100!=50!*(51*52*53...*98*99*100)
50!*50!=50!(*1*2*2...*48*49*50)
Which () do you think is bigger?

100!=60!*(61*62...*99*100)
60!*40!=60!*(1*2...*39*40)
Which () do you think is bigger?

50!*50!=50!*40!*(41*42...*49*50)
60!*40!=50!*40!*(51*52..*60)
Which () do you think is bigger?

 

[ryan_kidz]

i got it! ^-^

thnx!