The number of arrangements of the letters of the word BANANA in which the two N’s do not appear adjacently is [2002]

Question

The number of arrangements of the letters of the word BANANA in which the two N’s do not appear adjacently is [2002]

Smart Achievers · Accepted Answer

(1)

Total number of ways of arranging the letters of the word BANANA is $\frac{6!}{2! 3!} = 60$

Number of words in which 2 N's come together is $\frac{5!}{3!} = 20$

$∴$ $Required number = 60 - 20 = 40$

Want Us to Email you About Special Offers & Updates?