Question

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

• A. 40
• B. 60
• C. 80
• D. 100

Answer 1

Answer: (A)

40

Answer 2

Total arrangement – when both NN appear adjointly.

$\frac{\begin{matrix} 6 \end{matrix}}{\begin{matrix} 3 \end{matrix}\begin{matrix} 2 \end{matrix}}$ – $\frac{\begin{matrix} 5 \end{matrix}}{\begin{matrix} 3 \end{matrix}}$ = 60 – 20 = 40