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 each letter can be used only once? Choose the most appropriate option.
A) 21 B) 42 C) 120 D) 600 E) 720
VERMONT consists of 2 vowels and 5 consonants:   The number of way to choose a vowel for the first letter = C12==2.   The number of way to choose a consonant for the last letter= C15==5.   The number of ways to choose middle three letters out of 5 remaining letters = C35==10.   The number of arrangements of these three letters = 3! = 6.   Total = 2*5*10*6= 
<gadget id="calculator">2*5*10*6</gadget>
<output>600</output>
600.   Answer: 600.
<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 each letter can be used only once?