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Mathematics 23 Online
OpenStudy (anonymous):

22c6

OpenStudy (solomonzelman):

n C r = n! --- r!(n-r)!

OpenStudy (anonymous):

i get that part i just dont get how to solve it and my book doesnt really explain it very well

OpenStudy (solomonzelman):

Do you know what `5!` means ?

OpenStudy (anonymous):

yea its 5*4*3*2*1

OpenStudy (solomonzelman):

\(\LARGE\color{blue}{ \rm{n~C~r}= \frac{n!}{r!\times(n-r)!} }\) \(\LARGE\color{blue}{ \rm{22~C~6}= \frac{22!}{6!\times(22-6)!}=\frac{22!}{6!\times16!} }\)

OpenStudy (solomonzelman):

\(\LARGE\color{blue}{ \frac{16!\times 17\times 18 \times 19 \times 20 \times 21 \times 22}{6!\times16!} }\)

OpenStudy (solomonzelman):

\(\LARGE\color{blue}{ \frac{16!\times 17\times 18 \times 19 \times 20 \times 21 \times 22}{16!\times 1 \times2 \times 3 \times4 \times5 \times6} }\)

OpenStudy (solomonzelman):

all you need is to simpify

OpenStudy (solomonzelman):

\(\LARGE\color{blue}{ \frac{16!\times 17\times (3 \times 6) \times 19 \times (4 \times 5)\times 21 \times (2 \times 11)}{16!\times 1 \times2 \times 3 \times4 \times5 \times6} }\)

OpenStudy (solomonzelman):

So you get ` 17 × 19 × 21 × 11`

OpenStudy (solomonzelman):

and then just a calculator

OpenStudy (anonymous):

ok i get it now thank you... if my book would have put it that way i would have actually understood but they pretty much just gave me the formula to use and said figure it out yourself

OpenStudy (solomonzelman):

Yes... books often do this. I was recently reading a calculus 1 book, and barely understood how to integrate

OpenStudy (solomonzelman):

G☼☼D LUCK :)

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