Q. The number of ways of arranging letters of the word HAVANA so that V and N do not appear together is
A) 60
B) 80
C) 100
D) 120
Explanation
(b)
Given word is HAVANA (3A, 1H, 1N, 1V)
Total number of ways arranging the given word
$= \frac{6!}{3!} = 120$
Total number of words in which N, V together
$= \frac{5!}{3!} \times 2! = 40$
$\therefore$ Required number of ways$= 120 - 40 = 80$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.