Question 1135152
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1st letter: must be a vowel  --  2 choices
2nd letter: no restrictions  --  5 choices
3rd letter: no restrictions  --  5 choices
4th letter: no restrictions  --  5 choices
5th letter: most be a consonant  --  3 choices<br>
By the fundamental counting principle, the total number of 5-letter strings is the product of the numbers of choices you have for each letter:<br>
2*5*5*5*3 = 750