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? Pick one
A) 3441  B) 3433  C) 3333  D) 3430  E) 3773
Vowel: E O   Consonants: 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 5 Ways ( As the question states that the last letter has to be a consonant)   Second letter can be filled in 7 Ways   Third letter can be filled in 7 Ways   Fourth letter can be filled in 7 Ways   So, Total number of ways = 2 Ways x 7 Ways x 7 ways x 7 ways x 5 ways = 3430   Answer 3430
<result>D</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 consonant, and repetition is allowed?