JEE Main | 2018Permutation and CombinationHard

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 arrangements is-

Options

A.

less than 500

B.

at least 500 but less than 750

C.

at least 750 but less than 1000

D.

at least 1000

Solution

Number of ways = 64  31   4!
= 15 × 3 × 24
= 1080

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