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- anonymous

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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- anonymous

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- anonymous

ok, so this is a combinatorial problem

- anonymous

there are 5 vowels, and they're asking you to choose 2

- anonymous

okay so would it be 10?

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- anonymous

yes, but you can definitely list them all

- 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

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

- anonymous

exactly

- anonymous

there is also a formula for this

- anonymous

http://en.wikipedia.org/wiki/Combination search for the words "Finally there is a formula which exhibits"

- anonymous

thanks so much!

- anonymous

well one second

- anonymous

so if they mean "combinations", then the answer is 10

- anonymous

however, if they mean permutations, that is iu and ui are different permutations, then the answer would be 20

- anonymous

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

- anonymous

in that case, just take the 10 we listed, and reverse the letters for options 11-20

- 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

ooo okay

- anonymous

if they were asking for the 10 we listed, the problem should have said "list all the combinations", not permuations

- 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

alrite thanks

- anonymous

yeah np, good luck!

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