Question

need help simplify this expression. ill give a medal.
10P6
10P4
these are my choices.
A. 151,200
B. 420
C. 30
D. 5,040

Answer 1

10P^6/10P^4 ?

Answer 2

Are these permutations or powers of 10?

Answer 3

permutations

Answer 4

please i need help

Answer 5

I'm afk, hold on.

Answer 6

ok thank you

Answer 7

k back xD umm I've completely forgotten how to do permutations D:

Answer 8

damn lol

Answer 9

xD @Darry&Gator is pro at math. Better than me. :3 (Don't let me down darry...)

Answer 10

P^2 is the simplified version of this equation. :3

Answer 11

.__________. oh darry....

Answer 12

huh.. im confused

Answer 13

Ohmigosh, not one of the answer choice. Hold on a second. ~nervous giggles~

Answer 14

thats not even close to any of my choices .. lol i was about to say

Answer 15

Ohmigosh, my hand are sweaty. I can't do this sorry. Let me call some awesome people for you, though. @mathmale @ganeshie8 @agent0smith @mathstudent55 @ranga

Answer 16

Sorry though. And this might help too. http://www.mathsisfun.com/combinatorics/combinations-permutations.html

Answer 17

LOL .____. you have failed me ;~;


..my excuse is i forgot, never liked them >.>

Answer 18

lol l hate these to

Answer 19

Omg! you summoned my master (mathmale) :O

Answer 20

OHMIGOSH REALLY?

Answer 21

Yesh :3

Answer 22

He is the best. :3
Better than the other guy. [shh] ;o

Answer 23

so can you guys still try to help me find my answer lol to this problem ..

Answer 24

Howdy, guys, and thank you very much for the kind words! I didn't realize I was someone's "master." :) If I must be that, at least I'll try to be kind.

Permutations are not among the topics I know and understand best. I hesitate to give out pat answers. However, my TI-83 Plus calculator has a command, nPr, which makes short work of the two different permutations you've expressed.

10 P 6 (6 items taken from 10) comes to 151200.

10 P 4 comes to 5040.

I urge y ou to look up words such as "permutation" through Google searches. The material you find through Google varies in quality, of course.

http://en.wikipedia.org/wiki/Permutation includes explanations of how to calculate permutations via formula instead of by calculator command.

Answer 25

.. so my answer would be or is 151,200 or 5,040??

Answer 26

Are these combinations? Are they permutations within combinations? What is the definition of 10P6? What is the formula?

Answer 27

these are permutations.

Answer 28

Regarding ".. so my answer would be or is 151,200 or 5,040?? " I interpret this problem as presenting two separate problems involving permutations. The answer to one is 151,200 and that to the other is 5,040.

Again, please do an Internet / Google search for "permutation" and look for a formula (or formulas) for evaluation of permutations.

http://en.wikipedia.org/wiki/Permutation

Answer 29

If you, PP, happen to have a TI-83 or -84 calculator, I could guide you through the process of finding permutations on one of those calculators.

Answer 30

Thanks for Wikipedia ref

n P k = n!/(n-k)! and it is the number of different groups of k length when taken from n objects. 10P6 = 10!/(4!) = 10*9*8*7*6*5= 151,200.

Answer 31

i dont have a calculater

Answer 32

10P4 = 10!/(10-4)! = 10*9*8*7= 5040

Answer 33

PP: Have you some other way to evaluate permutations and combinations, other than grinding out multiplication and division by hand?

Answer 34

nope not really

Answer 35

DWC: Please explain how you arrived at those results. I agree with your results; it's just that PP needs to know how to obtain them herself. Many thanks.

Answer 36

so @douglaswinslowcooper im a guy mathmale.... :(

Answer 37

my answer would be either A or D

Answer 38

PP: If you have no calculator, then I'm afraid there's no alternative but to do the tedious multiplication and division by hand.

DWC: DWC, to me, represents Douglas Winslow Cooper, and that sounds like a very masculine name, so fear not: I am not accusing you of being a girl!!

Answer 39

As before, I believe you were given 2 separate problems in permutation to solve; A is the answer to the first one and D is the answer to the second one. But remember, you do need to learn how to evaluate these permutations on your own if you're going to be tested on this material.

Answer 40

its not a seprate problem its all in the same problem..

Answer 41

In cases like this, it's especially important to include the instructions that came with the problem. Are you positive that you've shared every bit of the problem statement here on OpenStudy?

Answer 42

yea it says to simplify the expression

Answer 43

i am really lost

Answer 44

PP: I have a suggestion: photograph the original problem and upload the image to OpenStudy. Something's fishy here...I need to see the original problem.

Answer 45

ok then one sec.

Answer 46

i actaully tried to do that a day ago but it didnt work for some reason

Answer 47

all it says is to simplify the expression

Answer 48

PP: Are you able to act on my request (that you share an image of the original problem)?

Answer 49

no it wont let me

Answer 50

Have you downloaded a screen capture utility? These things let you capture any part of what's on your computer screen and share the resulting image with others. It's a tool worth having and using. perhaps one of the more technically savvy OpenStudy participants could help you find, download, install and use a screen capture utility.

Answer 51

this computer is dumb i can draw it for you if you would like

Answer 52

Certainly, if you have a cell phone camera and can photograph your drawing and share it. Take a look at the original problem and make absolutely certain that you've copying every bit of the instructions.

You see, I interpret your original problem statement as including 2 separate problems, whereas you insist it's just one problem. That's due to ambiguity. So, i wanna see those instructions, every word and every letter of them.

Answer 53

I suspect the original problem is division. That is, 10P6 / 10P4 = ?
If that is the case, the problem can be solved without a calculator or lengthy hand calculations. Just knowing the formula for permutations will do:
Numerator: 10P6 = 10! / (10-6)! = 10! / 4!
Denominator: 10P4 = 10! / (10 - 4)! = 10! / 6!
Put them together: 10! / 4! / 10! / 6!
Flip the denominator fraction and multiply:
10! / 4! * 6! / 10! = 6! / 4! = 6*5 = 30