Mathematics
20 Online
OpenStudy (anonymous):
Find the value of each expression.
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OpenStudy (anonymous):
\[_{9} P _{3}\]
OpenStudy (blurbendy):
did you find the answer to your question?
OpenStudy (anonymous):
i did. is it 60480?
OpenStudy (anonymous):
@blurbendy
OpenStudy (blurbendy):
I got 504
9P3 = nPr = (n!) / (n-r)!
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OpenStudy (anonymous):
i was told it was 9!/3! ?
OpenStudy (blurbendy):
that's wrong, it's (n-r)! on the bottom
OpenStudy (anonymous):
okay so its 362,880 on top and 362,880 - 6 on the bottom?
OpenStudy (blurbendy):
first top part is right, bottom should be
(9 - 3)!
=
6!
OpenStudy (anonymous):
im a little confused.
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OpenStudy (blurbendy):
about what
OpenStudy (anonymous):
i dont get how your getting 504. i can get out of the thousands. idk which step im missing
OpenStudy (anonymous):
I have it! I was forgetting the "!" after (9-3)
OpenStudy (blurbendy):
ah, yeah. be careful with that
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OpenStudy (anonymous):
can I work out one and show you to see if I get it right?
OpenStudy (blurbendy):
sure
OpenStudy (anonymous):
\[_{10}C _{4}\] is the equation
OpenStudy (anonymous):
my answer is 5040
OpenStudy (blurbendy):
this a combination, so you have to use a different formula.
(n!) / r!(n-r)!
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OpenStudy (anonymous):
is that what the C stands for?
OpenStudy (blurbendy):
yup, P stands for Permutation
OpenStudy (anonymous):
ooh okay. let me try again
OpenStudy (anonymous):
is it a big number?
OpenStudy (blurbendy):
nope, not really
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OpenStudy (anonymous):
I think i did it wrong. I got a big number
OpenStudy (anonymous):
I got 108, 864, 000
OpenStudy (blurbendy):
you should have gotten 210
OpenStudy (anonymous):
oh gosh. im going to redo it
OpenStudy (anonymous):
\[\left( 10! \right) \div 4! \div (10-4)!\]
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OpenStudy (anonymous):
= 210??
OpenStudy (anonymous):
@blurbendy
OpenStudy (blurbendy):
10! / (4!(6!))
OpenStudy (blurbendy):
=
10! / 17280
OpenStudy (blurbendy):
= 210
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OpenStudy (anonymous):
oh okay. I was doing the formula wrong. Thank you!
OpenStudy (blurbendy):
yw