1. Tardigrade
  2. Question
  3. Mathematics
  4. The number of ways of arranging letters of the word HAVANA so that V and N do not appear together is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. The number of ways of arranging letters of the word $HAVANA$ so that $V$ and $N$ do not appear together is

Bihar CECEBihar CECE 2009

Solution:

Given word is HAVANA $(3\, A,\, 1\, H,\, 1\, N,\, 1\, V)$
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 $=120-40=80$