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Mathematics 16 Online
OpenStudy (anonymous):

simplify 12C11

OpenStudy (anonymous):

Hmm, not sure if this is a question @sushi323 - what exactly are you asking here?

OpenStudy (anonymous):

@cshalvey im rlly confused i have never learned this before it asks me to simplify 12c11 and 12 and 11 are like exponents i think

OpenStudy (lgbasallote):

@sushi323 are you familiar with factorials?

OpenStudy (anonymous):

no i am not @igbasallote

OpenStudy (lgbasallote):

basically factorials are like this \[n! = n \times (n-1) \times (n-2) \times \cdots \times 1\] i know that's hard to understand so here's an example \[2! = 2 \times 1\] \[3! - 3\times 2 \times 1\] \[4! = 4\times 3 \times 2 \times 1\] \[5! = 5\times 4 \times 3 \times 2 \times 1\] \[10! = 10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1\] do you understand it?

OpenStudy (anonymous):

yea sorta... thanks @igbasallote

OpenStudy (lgbasallote):

wait...

OpenStudy (lgbasallote):

that was just an intro...that wasnt an explanation to your question yet :D

OpenStudy (anonymous):

oh okay good haha cuz im still a little confused

OpenStudy (lgbasallote):

here's the fun stuff: \[\huge nCr \implies \frac{n!}{r!(n-r)!}\] so.. \[\huge 12C11 \implies \frac{12!}{11!(12-11)!}\]

OpenStudy (lgbasallote):

do you think you have an idea what that means?

OpenStudy (anonymous):

sorta haha but not really....

OpenStudy (lgbasallote):

okay...first step is to simplify (12-11)! what is 12 - 11 equal to?

OpenStudy (anonymous):

@igbasallote im sorry i just have never learned this stuff before:(

OpenStudy (lgbasallote):

wait...you havent learned 12-11 yet? o.O

OpenStudy (anonymous):

what? i guess not...i might have i just dont remember

OpenStudy (lgbasallote):

....we're talking about arithmetic here...you know.. 1 + 1 = 2 2 + 2 = 4 15 - 10 = 5 etc...

OpenStudy (anonymous):

ohh ya ive learned that....o.O sry haha

OpenStudy (lgbasallote):

so what's 12 - 11?

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