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Mathematics 20 Online
OpenStudy (anonymous):

Find the value of each expression.

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)!

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.

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

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)!

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

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):

\[\left( 10! \right) \div 4! \div (10-4)!\]

OpenStudy (anonymous):

= 210??

OpenStudy (anonymous):

@blurbendy

OpenStudy (blurbendy):

10! / (4!(6!))

OpenStudy (blurbendy):

= 10! / 17280

OpenStudy (blurbendy):

= 210

OpenStudy (anonymous):

oh okay. I was doing the formula wrong. Thank you!

OpenStudy (blurbendy):

yw

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