Question

How many words of 4 consonants and 3 vowels can be formed from 6 consonants and 5 vowels.

• A. 75000
• B. 756000
• C. 75600
• D. None of these

Answer 1

Answer: (B)

756000

Answer 2

Required number of words = $6C_{4} \times^{5}C_{3} \times 7!$ = 756000

[Selection can be made in $6C_{4} \times^{5} ⥂ C_{3}$ while the 7 letters can be arranged in 7!]