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anonymous
 5 years ago
How many disstinguishable perimeters can be formed from the letters in the word ARROGATOR?
anonymous
 5 years ago
How many disstinguishable perimeters can be formed from the letters in the word ARROGATOR?

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dumbcow
 5 years ago
Best ResponseYou've already chosen the best response.0do you mean permutations?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0is it the same thing as seeing how many places you can move 12 people around?

dumbcow
 5 years ago
Best ResponseYou've already chosen the best response.0yes pretty much you are trying to find all the different ways you can arrange the letters

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok I can do do it now that I understand it

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0also what does it mean by distinguishable? Do I have to place them so everytime I come up wiht a different word not just letters?

dumbcow
 5 years ago
Best ResponseYou've already chosen the best response.0depends on the problem are they looking for every possible word that can be formed or does each word have to include all 9 letters?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0it doesn't specify I would imagine it would have to include all 9 letters

dumbcow
 5 years ago
Best ResponseYou've already chosen the best response.0ok distinguishable means each word has to have a different combination of letters they dont have to be a real word First letter can be any one of the nine possible letters second letter can be any of the remaining 8 letters and so on

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok thought so but wanted to make sure

radar
 5 years ago
Best ResponseYou've already chosen the best response.0I would also think distinguishable means a perceived difference, note the double A, and O and the triple R. The fact that AARROGTOR and AARROGTOR has switched the A's it cannot be distinguishable, they appear the same, only I knew I used a different A lol

radar
 5 years ago
Best ResponseYou've already chosen the best response.0You have 5 distinct objects with 9 places to put them. Interesting!!

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Radar so 5 *9? I thught it would be 9*9 because you have 9 letters and 9 places to put them all in a different order

radar
 5 years ago
Best ResponseYou've already chosen the best response.0To be honest, I really don't know how to solve it. I wish dumbcow would come back and enlighten us!

radar
 5 years ago
Best ResponseYou've already chosen the best response.0I believe that their is not 91 distinguishable arrangements. I am inclined to agree with the 45, but I am not positive ????

dumbcow
 5 years ago
Best ResponseYou've already chosen the best response.0hmm yes radar you are correct, you could have 2 permutations that look the same i didn't account for that also the number of ways to arrange 9 objects is NOT 9*9 but 9! 9! is a factorial which means 9*8*7*6*5*4*3*2*1 this comes from there are 9 spaces to fill and there are 9 choices of letters for first space, after a letter is selected that leaves 8 letters to fill 2nd space, then 7 letters to fill 3rd space and so on... Now as we noted some of these arrangements really look the same as there are certain letters that are the same 3 R's 2 A's 2 O's to account for this we see how many ways we can arrange each of these letters for example for the A's A1A2 or A2A1 2*1 ways or 2! same for O's For the R's there are 3! ways to arrange them or 3*2*1 To discount these we divide answer = 9!/(3!*2!*2!) > 9*8*7*6*5*4*3*2*1 / 3*2*1*2*1*2*1 do some cancelling >9*8*7*6*5 = 15,120 distinguishable ways to arrange these letters

radar
 5 years ago
Best ResponseYou've already chosen the best response.0Gee who would of thunk it! lol, you don't have to list them I'll take your word for it.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Good grief I never would of thought of that lol!
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