Question

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

(a) atleast 500 but less than 750

(b) atleast 750 but less than 1000

(c) atleast 1000

(d) less than 500

Answer 1

Correct option (c) atleast 1000

Explanation:

The number of ways in which 4 novels can be selected = ⁶C₄ = 15

The number of ways in which 1 dictionary can be selected = ³C₁ = 3

Now, we have 5 places in which middle place is fixed.