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