Question

The number of ways of arranging letters of the ‘HAVANA’, so that V and N do not appear together, is ______.

विकल्प

• 60

• 80

• 100

• 120

Answer 1

The number of ways of arranging letters of the ‘HAVANA’, so that V and N do not appear together, is 80.

Explanation:

Given word is ‘HAVANA’ (3A, 1H, 1N, 1V)

Total number of ways of arranging the given word

= `(6!)/(3!)`

= 120

Total number of words in which N, V together

= `(5!)/(3!) xx 2!`

= 40

∴ Required number of ways = 120 – 40 = 80