I just need help with the last question.

Question

How many 5-letter “words” can be formed from the letters of the word FORMULATED, if each must contain 2 vowels and 3 consonants? How many of these will have the vowels at the two ends on the “word”?

 

I know 5! *5 is 14400 how do I know the second question?

Answer 1

First vowel: 4 choices

Last vowel: 3 choices

 

Three consonants in the middle: 6P3 = 6(5)(4) = 120

 

Product of these iks 1440.