From 6 different novels and 3 different dictionaries

• Permutation Combination

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. Then the number of such arrangements is

1. at least 750 but less than 1000
2. at least 500 but less than 750
3. less than 500
4. at least 1000

Answer

The number of ways = ⁶C₄ × ³C₁ × 24

The correct option is D.