find the total number of ways the hogwarts headmaster can distribute 5000 points to the four (distinct( houses) such that

Problem 1: Find the total number of ways the Hogwarts headmaster can distribute 5000 points to the four (distinct) houses such that: . every house receives at least 250 points - Hufepuff receives at least 1000 points . Ravenclaw receives at most 600 points