Question

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

Answer 1

Answer: (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 $=120-40=80$