Out of 7 consonants and 4 vowels, words are to be formed by involving 3 consonants and 2 vowels. The number of such words formed is:

Step-by-step solution

Three consonants out of 7 and 2 vowels out of 4 can be chosen in ^7 C ₃ ^4 C ₂ ways. Since each group contains 5 letters which can be arranged among themselves in 5 ! ways. Hence, the required number of words aligned & = ( ^7 C ₃ ^4 C ₂ ) 5!= 7! 3!4! 4! 2! 2! 5! & = 7 6 5 4! 3 2 4! 4 3 2! 2 1 2! 5 4 3 2 1 & =35 6 120=35 720=25200 . aligned