How many 7-letter words can be formed using the letters of the English alphabet that contain 3 different vowels and 4 different consonants?  Choose the correct option:	A) 5!*5c2 *21c2	B) 4!*5c2 *21c2	C) 4!*5c3 *21c2	D) 6!*5c3 *21c2	E) 7!*5c3 *21c4
combination for 3 vowels out of 5 = 5c3 ways   combination for 4 consonants of 21 = 21c4 ways   Additionally the arrangement can be = 7!   total arrangements =7!*5c3 *21c4   7!*5c3 *21c4
<result>E</result>
How many 7-letter words can be formed using the letters of the English alphabet that contain 3 different vowels and 4 different consonants?