The number of arrangements of the letters of the word 'BANANA' in | Filo

Class 11

Math

Algebra

Permutations and Combinations

573
150

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

Solution: Total number of permutations will be due to repetitions of and .
Now taking two of the N's together,
NN B A A A        ......    by taking NN as one block

we get
due to repetitions of s.

Hence, the required permutation will be

573
150

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