Engineering
Mathematics
Permutation and Combination Basic Definitions
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:

at least 500 but less than 750

at least 1000

less than 500

at least 750 but less than 1000

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Solution

6N and 3D

no. of ways = 6C4 × 3C1 × 4!

= 15 × 3 × 24 = 1080.