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
$(2002,1 M)$
(a) 40
(b) 60
(c) 80
(d) 100
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Answer:
Correct Answer: 5. (a)
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 $=60-20=40$
