Permutations And Combinations Ques 56

  1. 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

Show Answer

Answer:

Correct Answer: 56.(a)

Solution:

Formula:

Permutation:

  1. 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 $=60-20=40$



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