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In how many different ways can four books A, B, C, and D be arranged one above another in a vertical order such that the books A and B are never in continuous position

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In how many different ways can four books A, B, C, and D be arranged one above another in a vertical order such that the books A and B are never in continuous position?

(a)

9

(b)

12

(c)

14

(d)

79

Answer:

(b)

Explanation

There are 12 arrangements where books A and B are not in continuous position.