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Mathematics 18 Online
OpenStudy (anonymous):

Evaluate 15C2 and 15P2

OpenStudy (anonymous):

well...we did a similar one earlier no? 15c2 you can do just like we did earlier...for 15p2 the formula is different...i'm sure your book has it...please look it up...if you can't find it i'll show you...but u need ot try to find it first

OpenStudy (anonymous):

15!/2!(15-3)!

OpenStudy (anonymous):

almost try that one again.

OpenStudy (anonymous):

15!/2!(15-2)!

OpenStudy (anonymous):

hello?

OpenStudy (anonymous):

is anyone gonna help

OpenStudy (anonymous):

that one is good...now do the permutation one

OpenStudy (anonymous):

15!2(15-2)!

OpenStudy (anonymous):

have you found the formula for permutations? it's slightly different...but looks almost like combination

OpenStudy (anonymous):

no...that's not it permutation is n!/(n-r)!

OpenStudy (anonymous):

15/(15-2)

OpenStudy (anonymous):

yes...but don't forget the factorials!

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

so u do 15 times 14 times 13 times 12 times 11 times 10 or?

OpenStudy (anonymous):

remember this one:

OpenStudy (anonymous):

the reason i wrote it like that is because i wanted the 10! on the top to cancel with the 10! on the bottom

OpenStudy (anonymous):

but this time we don't have 10! on the bottom, instead we have 13!...write it like this:

OpenStudy (anonymous):

OpenStudy (anonymous):

let me know if that makes sense

OpenStudy (anonymous):

so we do 15 times 14 times 13?

OpenStudy (anonymous):

correct

OpenStudy (anonymous):

try to be clever with the way you write it, so that you can cancel as much as possible...technically you can just multiply EVERYTHING. but that will give you HUGE numbers...better to cancel...so we make our lives easier

OpenStudy (anonymous):

and thats the answer to the first one?

OpenStudy (anonymous):

well, at least multiply it out...what do you get?

OpenStudy (anonymous):

2730

OpenStudy (anonymous):

after you cancel stuff...multiply and see what number you get

OpenStudy (anonymous):

but thats not the answer

OpenStudy (anonymous):

what did you get?

OpenStudy (anonymous):

2730

OpenStudy (anonymous):

on the top

OpenStudy (anonymous):

after you cancel you should only have 15*14 left

OpenStudy (anonymous):

cause the 13! cancelled with the 13! in the denominator

OpenStudy (anonymous):

210

OpenStudy (anonymous):

correct...and what's left on the bottom?

OpenStudy (anonymous):

it was 105 u made me mess up

OpenStudy (anonymous):

^_^ i did? ... well...it was 210 on the top and 2 on the bottom...so you have 210/2 = 105

OpenStudy (anonymous):

u never told me that

OpenStudy (anonymous):

...of course not...you have to find the answer yourself

OpenStudy (anonymous):

now what about the permutation one?

OpenStudy (anonymous):

i am gonna post a new one now

OpenStudy (anonymous):

because u made me get it wrong

OpenStudy (anonymous):

okay...good luck

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