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Question

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

A
40
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B
60
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C
80
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D
100
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Solution

The correct option is A 40
We can arrange B,A,A,A in 4!3!=4 ways
For each arrangement of these four letters, there are five places (marked with X) for N as shown below
XXXXX
We can choose two out of these five in 5C2=10 ways.
Thus the required number of ways =4(10)=40

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