Out of 7 consonants and 4 vowels, the number of words consisting of 3 consonants and 2 vowels are

Step-by-step solution

We have to choose 3 consonants and 2 vowels from 7 consonants and 4 vowels. Number of words = ( ^7 C ₃ ) ( ^4 C ₂ ) 5 ! = 7 ! 3 ! 4 ! 4 ! 2 ! 2 ! 5 !=25200