anonymous
  • anonymous
Evaluating expressions,
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
Easiest problem ever, but I forgot how to do them, |dw:1361117139126:dw| Can someone show me step by step how to solve this or create a problem giving me an example? Thanks.!
anonymous
  • anonymous
\[1-\frac{ 694 }{ 896 }\] do you mean?
anonymous
  • anonymous
No, its P

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anonymous
  • anonymous
then p4 do you mean its power or 4 is multiplied?
anonymous
  • anonymous
like p4 or \[p^4\]
anonymous
  • anonymous
I have no idea... It just says 6P4,
anonymous
  • anonymous
Noo, its not that, I'll take a screenshot
anonymous
  • anonymous
ok... i am waiting for screenshot.
anonymous
  • anonymous
This is the problem,
1 Attachment
anonymous
  • anonymous
this is Permutation.
hartnn
  • hartnn
ohh..its permutation!
anonymous
  • anonymous
I also have this problem that includes a exclamation mark, |dw:1361117585779:dw| Do you know what its for?
anonymous
  • anonymous
& whats permutation? O_O I have never ever heard of that
hartnn
  • hartnn
\(!\) means a factorial.
hartnn
  • hartnn
\(n!= n(n-1)(n-2).......3.2.1\) when n is a whole number. like for example 5! = 5*4*3*2*1 = 120
anonymous
  • anonymous
answer is 1 it means that you need to expand 6 as 4 times and 8 as 6 times.
anonymous
  • anonymous
1/56
hartnn
  • hartnn
before getting to permutation, you should know what a factorial ! is .
anonymous
  • anonymous
OH.! so I had something like 10! I would have to do 10*9*8*7*6*5*4*3*2*1= etc..?
hartnn
  • hartnn
yes, thats correct.
anonymous
  • anonymous
6P4= 6*5*4*3 and 8P6= 8*7*6*5*4*3
anonymous
  • anonymous
yes you are correct.
hartnn
  • hartnn
do you want to know how to get that^ ?
anonymous
  • anonymous
I feel like I've done this stuff in 8th grade but had forgotten how to do some of this. These questions are for my pre-cal class & I found it odd that I had a probability question in there
anonymous
  • anonymous
yes.
hartnn
  • hartnn
\(\huge ^nP_r = \dfrac{n!}{(n-r)!}\)
anonymous
  • anonymous
So basically I had to do the factorial (!) to the 6P & 8P?
anonymous
  • anonymous
yes.
hartnn
  • hartnn
\(\huge ^nP_r = \dfrac{n!}{(n-r)!} \\\huge ^6P_4 = \dfrac{6!}{(2)!} \\ \huge 8P_6 = \dfrac{8!}{(2)!}\)
anonymous
  • anonymous
Everything on the left side of the = is confusing to me
hartnn
  • hartnn
in the formula of nPr ? its just a formula, so for 6P4, i plugged in n=6 and r=4 in the standard formula.
anonymous
  • anonymous
How would you know which ones to plug in? Because in one you have 6P4 & in the next 8P6, I don't get how you go to that?
hartnn
  • hartnn
n is before P , r is after P . in 6P4 , 6 is before P (so, n=6) and 4 is after P (so r=4) does this makes sense ?
anonymous
  • anonymous
Ah, it does now.! :-) Thanks you guys both for explaining this to me.!
hartnn
  • hartnn
Thank me when you get to correct answer.
anonymous
  • anonymous
What do you mean?
hartnn
  • hartnn
i meant to ask you, whether you could now figure out the answer of that question...
anonymous
  • anonymous
I do the factorial, 8*7*6*5*4*3*2*1, I thought?
anonymous
  • anonymous
& then divide my answer by 2?
hartnn
  • hartnn
thats for 8P2
anonymous
  • anonymous
Then I'm lost again,
hartnn
  • hartnn
i never said you are wrong. its just not the final answer.
anonymous
  • anonymous
Then I do the same with the 6
hartnn
  • hartnn
6P4 = 6*5*4*3 8P2= 8*7*6*5*4*3 Question asks, 1- 6P4/8P2 = 1- 6*5 / 8*7*6*5 = 1- 1/(8*7) ok ?
anonymous
  • anonymous
Ah, I wasnt paying attention to the 1,
anonymous
  • anonymous
Would I have to subtract the 1 from the 6 & start factoring 5?
hartnn
  • hartnn
no... first division operation is performed, so 6*5*4*3 will get cancelled from numerator and denominator, and what remains is just 1- 1/(8*7) which i've already shown.
anonymous
  • anonymous
Thats confusing
hartnn
  • hartnn
ok, clear till this : 6P4 = 6*5*4*3 8P2= 8*7*6*5*4*3
anonymous
  • anonymous
Got that...
hartnn
  • hartnn
now divide them 6P4/8P2 =.... ?
anonymous
  • anonymous
I got 0.0178 etc... Thats not right..
hartnn
  • hartnn
keep it in fractions..
anonymous
  • anonymous
I got 360 from 6*5*4*3 & 20160 from the factorial of 8.
anonymous
  • anonymous
How would I keep it in fractions?
hartnn
  • hartnn
you can also cancel out like this : |dw:1361120576575:dw| got that ?
anonymous
  • anonymous
Ah, got it.! I wasnt thinking about canceling out
hartnn
  • hartnn
ask if any more doubts.
anonymous
  • anonymous
What happened to the 4 & 2?
hartnn
  • hartnn
i just realized i mistyped 8P6 (and have written 8P2 instead) 4 and 2 where ?
anonymous
  • anonymous
The 4 after the P and the 2 after the other P
hartnn
  • hartnn
oh, we used the formula, right ? 6-4 = 2, so 2! in the denominator 8-6= 2, so 2! in the denominator
anonymous
  • anonymous
OH.! Ok I get it.!
anonymous
  • anonymous
1/56 wasnt correct, could it be 55/56 by any chance?
hartnn
  • hartnn
?? you forgot '1-...' again ? 1- 1/(7*8)= 1-1/56=(56-1)/56 = 55/56
anonymous
  • anonymous
*face palm* Thank you.
hartnn
  • hartnn
welcome ^_^

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