Help with Permuations and Combinations.
7. 4!/2! 9. 7Cv2 11. 6vPv2
@triciaal @TheSmartOne
not now, sorry
First one is a factorial.. do you know how to deal with factorials?
No. . .
Factorials are just products indicated by an exclamation mark. For example, \(\large 6!=6*5*4*3*2*1 \)
Oh yeah, I know how to do that.
I just don't know how to do them when they aren't one digit. xD
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!
So. . .4 * 3
Yes, and 4*3=12, and that's pretty much all there is to it :)
Oh. . .
Thank you! This is what I have so far for #9. 7!/2!(7-2)! =7!/2! *2!
How did you get another 2!? Isn't 7-2=5? :P
I don't know, honestly. xD So. . . 7!/2!(7-2)! =7!/2! *5! =17
Wait. . .
Nevermind, I've confused myself. xD
Try breaking the 7! to match the biggest factorial in the denominator
How do I do that?
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
7*6!/ 2!. . .
Actually, the 5 is the only one with the factorial, the others are just numbers, so it's (7*6)/2!
(7*6)/2!. . .Then what?
Since 2! is just 2*1, and that's 2 either way, just divide \(\Large \frac{7*6}{2} \) :)
=21 : D
Yes :)
6*5*4*3*2/2!
. . .Not sure if I'm doing it right
It's the third one right?
Yes.
\(\Large nP_{k}\frac{n!}{(n-k)!}\) \(\Large 6P2 =\frac{6!}{(6-2)! }\) :P
Of course, that's why we have formulas. x3
So you were right with the process, just got the wrong number :P
Thanks for your patience, you helped a lot.
You're welcome :) \(\Huge \color{\green}{\star} \)
Good job @Luigi0210 (:
Join our real-time social learning platform and learn together with your friends!