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

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

ParthKohli
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Can you do the rest with a calculator?

Esmy
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I got D I'm i right

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

ParthKohli
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Let me check it.

lgbasallote
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hmm

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

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

moha_10
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(174)! how to simplify this

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

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

lgbasallote
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yes you did

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

lgbasallote
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amazingly a sciientific calculator already has a function for this lol

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

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

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

lgbasallote
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it was well

ParthKohli
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Yep it was great!

lgbasallote
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do you have a scientific calculator though @Esmy ?


Esmy
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yes.

lgbasallote
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you can check your work through that

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

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

ParthKohli
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But nobody can beat wolfram ♥

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

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

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

lgbasallote
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dont you mea 2ndF?

lgbasallote
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mean*

ParthKohli
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You just have to type out 17C4 on Wolfram.

ParthKohli
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All scientific calculators differ.

lgbasallote
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i've never heard of a function that says 2nd only though

ParthKohli
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\(\text{WolframAlpha} > \text{A boring and tedious scientific calculator}\)

lgbasallote
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usually it's 2ndF or shift

lgbasallote
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bringing calculator > bringing iPad lol
