A survey of $450$ students about their subjects of interest resulted in the following outcome.
- $150$ students are interested in Mathematics.
- $200$ students are interested in Physics.
- $175$ students are interested in Chemistry.
- $50$ students are interested in Mathematics and Physics.
- $60$ students are interested in Physics and Chemistry.
- $40$ students are interested in Mathematics and Chemistry.
- $30$ students are interested in Mathematics, Physics and Chemistry.
- Remaining students are interested in Humanities.
Based on the above information, the number of students interested in Humanities is
- $10$
- $30$
- $40$
- $45$
