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)

B A N A N A
First arrange BAAA in $\frac{4!}{3!}=4$ ways
Now 5 gaps available to be filled with 2 numbers
$\therefore 4\times {}^5{C}_2=40$