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?  Choose the correct answer:
A) 21  B) 42  C) 120  D) 600  E) 200
Vowel: 200 O   Consonants: V R M N T   First letter can be filled in 2 Ways ( As the question states thatfirst letter has to be a vowel)   Fourth letter can be filled in 5 Ways ( As the question states thatthe last letter has to be a consonant)   Now since each letter can be used only once, and 2 letters out of 7 letters are already used in First and fourth letter   Second letter can be filled in 5 Ways   Third letter can be filled in 4 Ways   So, Total number of ways = 2 Ways x 5 Ways x 4 ways x 5 ways = 200   Answer 200
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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?