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

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

Grade:12

1 Answers

bharat bajaj IIT Delhi
askIITians Faculty 122 Points
10 years ago
Total no. ofarrangementsof the letters of the word 'BANANA' = 6! / (3! 2!) = 60
Now, consider two N's asa singleletter
So, no. ofarrangementsin which both N's appear adjacently = 5! / 3! = 20
Hence, no. ofarrangementsin which both N's do not appear adjacently = 60 - 20 = 40
THanks
Bharat Bajaj
askiitians faculty

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