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Mathematics 6 Online
OpenStudy (anonymous):

Help with Permuations and Combinations.

OpenStudy (anonymous):

7. 4!/2! 9. 7Cv2 11. 6vPv2

OpenStudy (anonymous):

@triciaal @TheSmartOne

OpenStudy (triciaal):

not now, sorry

OpenStudy (luigi0210):

First one is a factorial.. do you know how to deal with factorials?

OpenStudy (anonymous):

No. . .

OpenStudy (luigi0210):

Factorials are just products indicated by an exclamation mark. For example, \(\large 6!=6*5*4*3*2*1 \)

OpenStudy (anonymous):

Oh yeah, I know how to do that.

OpenStudy (anonymous):

I just don't know how to do them when they aren't one digit. xD

OpenStudy (luigi0210):

Try breaking the factorial apart to match something so you can cancel them. The 4!=4*3*2*1. The 2!=2*1. You can stop at: \(\Large \frac{4*3*2!}{2!} \) Now you can cancel the 2!

OpenStudy (anonymous):

So. . .4 * 3

OpenStudy (luigi0210):

Yes, and 4*3=12, and that's pretty much all there is to it :)

OpenStudy (anonymous):

Oh. . .

OpenStudy (anonymous):

Thank you! This is what I have so far for #9. 7!/2!(7-2)! =7!/2! *2!

OpenStudy (luigi0210):

How did you get another 2!? Isn't 7-2=5? :P

OpenStudy (anonymous):

I don't know, honestly. xD So. . . 7!/2!(7-2)! =7!/2! *5! =17

OpenStudy (anonymous):

Wait. . .

OpenStudy (anonymous):

Nevermind, I've confused myself. xD

OpenStudy (luigi0210):

Try breaking the 7! to match the biggest factorial in the denominator

OpenStudy (anonymous):

How do I do that?

OpenStudy (luigi0210):

Well you know how 7! is just 7*6*5*4*3*2*1? Trying taking out numbers. Like if you wanted to take out 7 from it, take it and be left with \(7*(6*5* \) 4*3*2*1).. everything else can just represented as a factorial: \(7*6! \) So for yours we have \(\Large \frac{7!}{2!*5! }\) Let's break up the 7! to match 5! sooo \(7*6*(5*4*3*2*1) \) Or just : \(\Large \frac{\color{green}{7*6*5!}}{2!*5! }\) Now we can cancel

OpenStudy (anonymous):

7*6!/ 2!. . .

OpenStudy (luigi0210):

Actually, the 5 is the only one with the factorial, the others are just numbers, so it's (7*6)/2!

OpenStudy (anonymous):

(7*6)/2!. . .Then what?

OpenStudy (luigi0210):

Since 2! is just 2*1, and that's 2 either way, just divide \(\Large \frac{7*6}{2} \) :)

OpenStudy (anonymous):

=21 : D

OpenStudy (luigi0210):

Yes :)

OpenStudy (anonymous):

6*5*4*3*2/2!

OpenStudy (anonymous):

. . .Not sure if I'm doing it right

OpenStudy (luigi0210):

It's the third one right?

OpenStudy (anonymous):

Yes.

OpenStudy (luigi0210):

\(\Large nP_{k}\frac{n!}{(n-k)!}\) \(\Large 6P2 =\frac{6!}{(6-2)! }\) :P

OpenStudy (anonymous):

Of course, that's why we have formulas. x3

OpenStudy (luigi0210):

So you were right with the process, just got the wrong number :P

OpenStudy (anonymous):

Thanks for your patience, you helped a lot.

OpenStudy (luigi0210):

You're welcome :) \(\Huge \color{\green}{\star} \)

TheSmartOne (thesmartone):

Good job @Luigi0210 (:

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