Mathematics
13 Online
OpenStudy (anonymous):
17C4
Join the QuestionCove community and study together with friends!
Sign Up
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):
\( \color{Black}{\Rightarrow\Large {17 \times 16 \times 15 \times 14 \over 24} }\)
Join the QuestionCove community and study together with friends!
Sign Up
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
Join the QuestionCove community and study together with friends!
Sign Up
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
Join the QuestionCove community and study together with friends!
Sign Up
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!
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (lgbasallote):
do you have a scientific calculator though @Esmy ?
OpenStudy (anonymous):
yes.
OpenStudy (lgbasallote):
you can check your work through that
Parth (parthkohli):
I have a Ti - 30XA which is pretty well.
Join the QuestionCove community and study together with friends!
Sign Up
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.
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (lgbasallote):
dont you mea 2ndF?
OpenStudy (lgbasallote):
mean*