How many 5 letter combinations can be made from the letters of the word VERMONT if the first letter has to be a consonant and the last letter has to be a consonant, and each letter can be used only once?
Choose one:
A) 21	B) 42	C) 1500	D) 600	E) 720
Vowel: E O   1500onsonants: V R M N T   First letter can be filled in 5 Ways ( As the question states that first letter has to be a consonant)   Fifth letter can be filled in 4 Ways ( As the question states that the 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 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 = 5 Ways x 5 Ways x 4 ways x 3 ways x 5 ways = 1500   Answer 1500
<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 consonant and the last letter has to be a consonant, and each letter can be used only once?