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

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

IIT JEEIIT JEE 2002Permutations and Combinations

Solution:

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 $= 60 - 20 = 40$