In how many different ways can four books A, B, C and D be arranged one above an

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Question

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?

Options:

A . 9

B . 12

C . 14

D . 18

Answer: Option B
THE NUMBER OF ARRANGEMENT IN WHICH A AND B ARE NOT TOGETHER
= TOTAL NUMBER OF ARRANGEMENTS
= NUMBER OF ARRANGEMENTS IN WHICH A AND B ARE TOGETHER =4!-3!X2! = 24-12 =12.

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