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 vowel, and each letter can be used only once? Choose the correct choice from the following:
A) 21
B) 42
C) 120
D) 600
E) 720
Vowel: E O   120onsonants: V R M N T   First letter can be filled in 2 Ways ( As the question states that first letter has to be a vowel)   Fifth letter can be filled in 1 Ways ( As the question states that the last letter has to be a vowel)   Now since each letter can be used only once, and 2 letters out of 7 letters are already used in First and Fifth letter   Second letter can be filled in 5 Ways   Third letter can be filled in 4 Ways   Fourth letter can be filled in 3 Ways   So, Total number of ways = 2 Ways x 5 Ways x 4 ways x 3 ways x 1 ways = 120   Answer 120
<result>C</result>
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 vowel, and each letter can be used only once?