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