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

Analytical & Descriptive Questions

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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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