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Question

From 6 different novels and 3 different dictonaries, 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 arrangements is

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

The correct option is D at least 1000
Dictionary can be chosen in 3C1=3 ways
Novels can be arranged in 6C44!=360 ways
N=3×360=1080

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