JEE Main On 08 April 2018 Question 28

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: [JEE Main Online 08-04-2018]

Options:

A) at least 500 but less than 750

B) at least 750 but less than 1000

C) at least 1000

D) less than 500

Show Answer

Answer:

Correct Answer: C

Solution:

$ \text{6 }{N_1}\text{ 3D} $

$ \text{=15}\text{.3}\text{.24} $

$ \text{=45}\times 24 $ $ =1080 $