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OpenStudy (anonymous):
simplify 17 C 4
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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"
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OpenStudy (anonymous):
its 2380 isn't it?
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
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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! :)
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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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