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Mathematics 14 Online
OpenStudy (anonymous):

simplify 17 C 4

OpenStudy (anonymous):

"simplify" i assume in this context means compute right?

OpenStudy (anonymous):

\[_{17}C_4=\frac{17\times 16\times 15\times 14}{4\times 3\times 2}\] cancel first, multiply last

OpenStudy (anonymous):

combination formula; n!/r!(n-r)! 17!/4!(17-4)!

OpenStudy (anonymous):

Im not sure it only says 17 C 4 possibble answers A. 2,380 B. 680 C. 57,120 D. 4,760

OpenStudy (anonymous):

"simplify" jeez the lazy math teachers way of saying "give me the answer i want"

OpenStudy (anonymous):

its 2380 isn't it?

OpenStudy (anonymous):

most calculators can do this easily http://www.wolframalpha.com/input/?i=17+choose+4

OpenStudy (anonymous):

yes , 2380

OpenStudy (anonymous):

wait yeah it is 2380

OpenStudy (anonymous):

im working in probability in my class so yeah im pretty sure it is 2380

OpenStudy (anonymous):

do you understand why?

OpenStudy (anonymous):

57120 divided by 24?

OpenStudy (anonymous):

I think I understand

OpenStudy (anonymous):

yes you got it! ^_^

OpenStudy (anonymous):

keep on practicing i learned this 2 weeks ago and its pretty easy once you get use to it! good luck! :)

OpenStudy (anonymous):

thankyou

OpenStudy (anonymous):

at the risk of repeating myself CANCEL FIRST, MULTIPLY LAST

OpenStudy (anonymous):

ur welcome, glad to help ^_^

OpenStudy (anonymous):

\[_{17}C_4=\frac{17\times 16\times 15\times 14}{4\times 3\times 2}\] \[=17\times 2\times 5\times 14\]

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