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anonymous

  • 5 years ago

determine the number of possible permutations of two of the five vowels: a, e ,i, o, and u. List them all

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  1. anonymous
    • 5 years ago
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    ok, so this is a combinatorial problem

  2. anonymous
    • 5 years ago
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    there are 5 vowels, and they're asking you to choose 2

  3. anonymous
    • 5 years ago
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    okay so would it be 10?

  4. anonymous
    • 5 years ago
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    yes, but you can definitely list them all

  5. anonymous
    • 5 years ago
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    so I would just pick two letter like a and e and then list all the possible letters that can be combined with them

  6. anonymous
    • 5 years ago
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    1. ae 2. ai 3. ao 4. au 5. ei 6. eo 7. eu 8. io 9. iu 10. ou

  7. anonymous
    • 5 years ago
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    exactly

  8. anonymous
    • 5 years ago
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    there is also a formula for this

  9. anonymous
    • 5 years ago
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    http://en.wikipedia.org/wiki/Combination search for the words "Finally there is a formula which exhibits"

  10. anonymous
    • 5 years ago
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    thanks so much!

  11. anonymous
    • 5 years ago
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    well one second

  12. anonymous
    • 5 years ago
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    so if they mean "combinations", then the answer is 10

  13. anonymous
    • 5 years ago
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    however, if they mean permutations, that is iu and ui are different permutations, then the answer would be 20

  14. anonymous
    • 5 years ago
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    since there are 5 possible letters for the first spot, and then 4 possible letters for the second spot. so 5x4 = 20

  15. anonymous
    • 5 years ago
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    in that case, just take the 10 we listed, and reverse the letters for options 11-20

  16. anonymous
    • 5 years ago
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    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

  17. anonymous
    • 5 years ago
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    ooo okay

  18. anonymous
    • 5 years ago
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    if they were asking for the 10 we listed, the problem should have said "list all the combinations", not permuations

  19. anonymous
    • 5 years ago
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    so yeah, just take the list, and make sure you have one possibility with the letters reversed for each of the 10 listed

  20. anonymous
    • 5 years ago
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    alrite thanks

  21. anonymous
    • 5 years ago
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    yeah np, good luck!

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