SOLUTION: How many permutations of the characters in "COMPUTER" are there? How many of the permutations end in a vowel? Can you please explain to me this homework question step-by-step?

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Question 1186634: How many permutations of the characters in "COMPUTER" are there? How many of the permutations end in a vowel?

Can you please explain to me this homework question step-by-step?

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
How many permutations of the characters in "COMPUTER" are there?
The 1st choice is 1 of 8, then 1 of 7, 1 of 6, etc.
----> 8*7*6*5*4*3*2*1
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How many of the permutations ending vowel?
The first choice is 1 of 3, for the end
1 of 3, 1 of 7, 1 of 6, etc.
---> 3*7*6*5*4*3*2*1