Moderate# Overlapping Classes

GMAT-EXSRYU

A small college has $800$ students. $100$ students are taking math, physics, and history. $120$ students are taking math and physics. $150$ students are taking math and history. $130$ students are taking physics and history. $320$ students are taking math. $300$ students are taking physics. $280$ students are taking history.

How many students are taking neither math, physics, nor history?