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Algebra 14 Online
OpenStudy (anonymous):

Evaluate 81/51

hartnn (hartnn):

you mean \(\large \dfrac{8!}{5!}\) ?

OpenStudy (anonymous):

yeah

hartnn (hartnn):

ok, so do you know this ? \(\large n! = n \times (n-1)!\)

OpenStudy (anonymous):

no

hartnn (hartnn):

now you know :) example, 6! = 6*(6-1)! = 6*5! similarly can you tell me what 8! = ...?

OpenStudy (anonymous):

40320

hartnn (hartnn):

don't just pluug it into calculator. use the property i gave.

hartnn (hartnn):

one more example 10! = 10*(10-1)! = 10*9! so, what about 8! ?

OpenStudy (anonymous):

all i know is its says to Evaluate 81/51

OpenStudy (anonymous):

40,320 336 6720 120

OpenStudy (anonymous):

that's what they give me

hartnn (hartnn):

you know what "\(!\)" in n! mean ?

OpenStudy (anonymous):

no

hartnn (hartnn):

ok,first let me tell, you that n! = n*(n-1)*(n-1)*...3.2.1 like 4! = 4*3*2*1 7!=7*6*5*4*3*2*1 got this ?

OpenStudy (anonymous):

yeah

hartnn (hartnn):

so, can u tell me what 5! = ... ?

OpenStudy (anonymous):

120

hartnn (hartnn):

did u use calculator again ?

OpenStudy (anonymous):

yeah

hartnn (hartnn):

what probems you have in using the definition of ! i gave you ?

hartnn (hartnn):

did u still not get it ?

OpenStudy (anonymous):

i get i found the answer

hartnn (hartnn):

and what would that be ?

OpenStudy (anonymous):

336

hartnn (hartnn):

i guess you used calculator. anyways, 336 is correct :)

OpenStudy (anonymous):

thanks for the help

hartnn (hartnn):

your welcome, although i tried, it was your calculator who helped you.

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