Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?

Explanation

Select 3 of 7 consonants: C(7, 3) = 35. Select 2 of 4 vowels: C(4, 2) = 6. Arrange the five chosen letters in 5! = 120 ways. Therefore, 35 × 6 × 120 = 25200.