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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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