How many 5 letter combinations can be made from the letters of the word VERMONT if the first letter has to be a vowel and the last letter has to be a consonant, and repetition is allowed?\nOptions:\n(A) 3441\n(B) 3433\n(C) 3333\n(D) 3430\n(E) 3773 Hmmm, my stream of consciousness:
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Vowel: E O\nConsonants: V R M N T\nFirst letter can be filled in 2 Ways ( As the question states that first letter has to be a vowel)\nFifth letter can be filled in 5 Ways ( As the question states that the last letter has to be a consonant)\nSecond letter can be filled in 7 Ways\nThird letter can be filled in 7 Ways\nFourth letter can be filled in 7 Ways\nSo, Total number of ways = 2 Ways x 7 Ways x 7 ways x 7 ways x 5 ways = 3430 So, the answer is (D).
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