Question

Question #684a6

Answer 1

Let's take this step by step.

Explanation:

First digit: You have no choice: the first digit MUST be 5, otherwise you won't end up between 5000 and 6000.

(i)
After the first digit, you have 5 left. You can choose from 5 for the 2nd, from 4 for the 3rd and from 3 for the 4th. Total `5*4*3=60` possibilities.

(ii)
For all next digits you have the 6 original choices.
So `6*6*6=216` possibilities.