anonymous
  • anonymous
determine the number of possible permutations of two of the five vowels: a, e ,i, o, and u. List them all
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
ok, so this is a combinatorial problem
anonymous
  • anonymous
there are 5 vowels, and they're asking you to choose 2
anonymous
  • anonymous
okay so would it be 10?

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anonymous
  • anonymous
yes, but you can definitely list them all
anonymous
  • anonymous
so I would just pick two letter like a and e and then list all the possible letters that can be combined with them
anonymous
  • anonymous
1. ae 2. ai 3. ao 4. au 5. ei 6. eo 7. eu 8. io 9. iu 10. ou
anonymous
  • anonymous
exactly
anonymous
  • anonymous
there is also a formula for this
anonymous
  • anonymous
http://en.wikipedia.org/wiki/Combination search for the words "Finally there is a formula which exhibits"
anonymous
  • anonymous
thanks so much!
anonymous
  • anonymous
well one second
anonymous
  • anonymous
so if they mean "combinations", then the answer is 10
anonymous
  • anonymous
however, if they mean permutations, that is iu and ui are different permutations, then the answer would be 20
anonymous
  • anonymous
since there are 5 possible letters for the first spot, and then 4 possible letters for the second spot. so 5x4 = 20
anonymous
  • anonymous
in that case, just take the 10 we listed, and reverse the letters for options 11-20
anonymous
  • anonymous
I think they're asking for the 20 different permutations. since "permutation" and "combination" have different standard meanings in math: http://en.wikipedia.org/wiki/Permutation
anonymous
  • anonymous
ooo okay
anonymous
  • anonymous
if they were asking for the 10 we listed, the problem should have said "list all the combinations", not permuations
anonymous
  • anonymous
so yeah, just take the list, and make sure you have one possibility with the letters reversed for each of the 10 listed
anonymous
  • anonymous
alrite thanks
anonymous
  • anonymous
yeah np, good luck!

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