Mathematics
10 Online
OpenStudy (anonymous):
question below
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OpenStudy (anonymous):
\[nC4 + nC5\]
OpenStudy (anonymous):
use d formula for n c r and do d simplification
OpenStudy (anonymous):
nCr= n!/ r! (n-r)!
OpenStudy (anonymous):
is it ok if you show me, kinda new to this
OpenStudy (anonymous):
n!/ 4! (n-4)! + n!/ 5! (n-5)!
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OpenStudy (anonymous):
n(n-1)(n-2)(n-3)/24 + n(n-1)(n-2)(n-3)(n-4)/ 120
OpenStudy (anonymous):
it's ok?
OpenStudy (anonymous):
i still can't see it
OpenStudy (anonymous):
see... n!= 1.2.3.4....n
OpenStudy (anonymous):
right?
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OpenStudy (anonymous):
yes
OpenStudy (anonymous):
n!/ (n-4)! = 1.2.3....(n-4)(n-3)(n-2)(n-1)n / (1.2.3....(n-4))
OpenStudy (anonymous):
yeah...
OpenStudy (anonymous):
so now u can solve ur problem....:)
OpenStudy (anonymous):
let me try
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OpenStudy (anonymous):
n(n-1)(n-2)(n-3)/24 + n(n-1)(n-2)(n-3)(n-4)/ 120
OpenStudy (anonymous):
i got that, but how do you simplify further?
OpenStudy (anonymous):
LOL @hba looks like you have no choice but to help this damsel in distress
OpenStudy (hba):
@virtus i dont think so lol
OpenStudy (anonymous):
16Cn +16C9 =17C9
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OpenStudy (anonymous):
FIND "n"
OpenStudy (anonymous):
why not @hba
OpenStudy (hba):
Its been along time ive studied it and i dont want to get you into another confusion :(
OpenStudy (anonymous):
OH LOL ok then
OpenStudy (anonymous):
16Cn +16C9 =17C9
16Cn+16C9=16C9 + 16C8
16Cn=16C8
n=8
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OpenStudy (anonymous):
use the identity nCr + nC(r-1) = (n+1)Cr