How many 4-letter words can be formed using the letters of the English alphabet that contain 2 different vowels and 2 different consonants?  Choose the correct choice from the following answers.
A) 4!*5c2 *21c2
B) 5P2 * 21P3 * 5!
C) 5C2 * 21C3 * 5!
D) 5P2 * 21P3
E) 5C2 * 21C3
combination for 2 vowels out of 5 =5c2 ways   combination for 2 consonants of 21 = 21c2 ways   4!*5c2 *21c2dditionally the arrangement can be = 4!   total arrangements =4!*5c2 *21c2   4!*5c2 *21c2
<result>A</result>
How many 4-letter words can be formed using the letters of the English alphabet that contain 2 different vowels and 2 different consonants?