Question

The number of arrangements of the letters of the word BANANA in which two N's do not appear adjacently is ______.

Options

• 40

• 60

• 80

• 100

Answer 1

The number of arrangements of the letters of the word BANANA in which two N's do not appear adjacently is 40.

Explanation:

Required number of arrangements 

= (Total number of arrangements) - (Number of arrangements in which N's are together)

`= (6!)/(2! xx 3!) - (5!)/(3!)`

= 60 - 20 = 40