Question

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

• A. 40
• B. 60
• C. 80
• D. 100

Answer 1

Answer: (A)

40

Answer 2

Total number of arrangements of word BANANA
$\, \, \, \, \, \, \, \, \, \, =\frac{6!}{3!2!}=60$
The number of arrangements of words BANANA in which two N's appear adjacently $=\frac{5!}{3!}=20$
Required number of arrangements $= 60 - 20 = 40$