How many 3-letter words can be formed using the letters of the English alphabet that contain 1 different vowels and 2 different consonants?  Choose the correct choice from the following choices.
A) 4!*5c2 *21c2  B) 4!*5c3 *21c2  C) 3!*5c1 *21c2  D) 5!*5c2 *21c2  E) 6!*5c2 *21c2
combination for 1 vowels out of 5 =5c1 ways   combination for 2 consonants of 21 = 21c2 ways   Additionally the arrangement can be = 3!   total arrangements =3!*5c1 *21c2   3!*5c1 *21c2
<result>C</result>
How many 3-letter words can be formed using the letters of the English alphabet that contain 1 different vowels and 2 different consonants?