Use some thinking to answer the following question. How many 4 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 each letter can be used only once?\nOptions:\n(A) 21\n(B) 42\n(C) 120\n(D) 600\n(E) 200
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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 thatfirst letter has to be a vowel)\nFourth letter can be filled in 5 Ways ( As the question states thatthe last letter has to be a consonant)\nNow since each letter can be used only once, and 2 letters out of 7 letters are already used in First and fourth letter\nSecond letter can be filled in 5 Ways\nThird letter can be filled in 4 Ways\nSo, Total number of ways = 2 Ways x 5 Ways x 4 ways x 5 ways = 200 So the final answer is (E).
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