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Mathematics 13 Online
OpenStudy (anonymous):

17C4

Parth (parthkohli):

\( \color{Black}{\Rightarrow\Large {17! \over (17 - 4)! 4!} }\)

OpenStudy (anonymous):

|dw:1342190004971:dw| A. 2,380 B. 680 C. 57,120 D. 4,760

Parth (parthkohli):

Can you do the rest with a calculator?

OpenStudy (anonymous):

I got D I'm i right

Parth (parthkohli):

\( \color{Black}{\Rightarrow\Large {17 \times 16 \times 15 \times 14 \over 24} }\)

Parth (parthkohli):

Let me check it.

OpenStudy (lgbasallote):

hmm

Parth (parthkohli):

Hmm no. But I can explain how I reached that step.

OpenStudy (anonymous):

17C4 = 17! / ( 4! (17 - 4)! ) 17C4 = ( 17! ) / ( 4! * 13! ) 17C4 = (17 * 16 * 15 * 14) / (4 * 3 * 2 * 1) 17C4 = 2380

OpenStudy (anonymous):

(17-4)! how to simplify this

Parth (parthkohli):

\( \color{Black}{\Rightarrow \Large \binom{17}{4} = {17! \over (17 - 4)! 4!} }\)

OpenStudy (anonymous):

I got that now :/ ? I'm not sure if I did it right.

OpenStudy (lgbasallote):

yes you did

Parth (parthkohli):

\( \color{Black}{\Rightarrow\Large {17! \over 13!4!} }\)

OpenStudy (lgbasallote):

amazingly a sciientific calculator already has a function for this lol

OpenStudy (lgbasallote):

you just have to push buttons =)) but yeah learning this process is better

OpenStudy (anonymous):

lol okay yeah I was just wondering ^ ^ needed to know my work was good.

Parth (parthkohli):

\( \color{Black}{\Rightarrow\Large {\cancel{17!}^{17 \times 16 \times 15 \times 14} \over \cancel{13!}4!} }\)

OpenStudy (lgbasallote):

it was well

Parth (parthkohli):

Yep it was great!

OpenStudy (lgbasallote):

do you have a scientific calculator though @Esmy ?

Parth (parthkohli):

Or http://wolframalpha.com ;)

OpenStudy (anonymous):

yes.

OpenStudy (lgbasallote):

you can check your work through that

Parth (parthkohli):

I have a Ti - 30XA which is pretty well.

OpenStudy (lgbasallote):

do you see a function that says \[nCr\]

Parth (parthkohli):

But nobody can beat wolfram ♥

OpenStudy (lgbasallote):

try pressing \[17 \rightarrow nCr \rightarrow 4\] see the magic happen

Parth (parthkohli):

You have to press \(17 \Longrightarrow 2nd \Longrightarrow 8 \Longrightarrow 4\) on this one.

OpenStudy (anonymous):

Oh okay I got it ^ ^ thanks tho for your help.

OpenStudy (lgbasallote):

dont you mea 2ndF?

OpenStudy (lgbasallote):

mean*

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