anonymous
  • anonymous
A toy manufacturer makes a key ring toy with 7 different colored plastic keys. If the keys are arranged on the key ring at random, how many different key rings can be sold? Be sure to explain.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
I thougt that too, but the answer sheet says 720... its just that I have no idea how to get there.
anonymous
  • anonymous
>.<
anonymous
  • anonymous
The sheet is wrong >:(

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More answers

anonymous
  • anonymous
it wont be 7! rather it will be 6!because in a ring there is no starting or end point
KingGeorge
  • KingGeorge
It should be \(6!=720\) since it's on a ring. If you were to lay out the ring as if it were a line, \(7!\) would be correct, but you can rotate a ring around so the answer should be \[{7! \over 7}=6!=720\]
anonymous
  • anonymous
OH!!! Circular permutations?
KingGeorge
  • KingGeorge
You have \(7!\) ways of laying out the keys, but there are seven different rotations that are the same thing, so you have to divide by 7. Circular permutations. Exactly.
anonymous
  • anonymous
OH!!! [Impressed] Thank You guys so MUCH!!! Hey look out for my next question, k? I ll have it up in a second

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