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Question

From 6 different novels and 3 different dictionaries, 4 novels and 1 dictionary are to be selected and arranged in a row on a shelf so that the dictionary is always in the middle. The number of such arrangement is

A
At least 750 but less than 1000
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B
At least 1000
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C
Less than 500
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D
At least 500 but less than 750
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Solution

The correct option is B At least 1000
Select 4 novels from 6 novels =6C4
Select 1 dictionary from 3 dictionaries= =3C1
So, arrangement
=6C4×3C1×4!×1!=1080

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