Permutations and Combinations 4 Question 5

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

(2002,1M)

(a) 40

(b) 60

(c) 80

(d) 100

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Answer:

Correct Answer: 5. (a)

Solution:

  1. Total number of arrangements of word BANANA

=6!3!2!=60

The number of arrangements of words BANANA in which two N’s appear adjacently =5!3!=20

Required number of arrangements =6020=40



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