Venn Diagram

In a class of $50$ students, each student has at least one favorite subject among three subjects: Mathematics, Biology, and Physics.

The data is as follows:

• $35$ students like Mathematics
• $20$ students like Biology
• $15$ students like Physics
• $5$ students like Physics and Biology
• $13$ students like Mathematics and Biology
• $7$ students like Mathematics and Physics

How many students like Mathematics, Biology, and Physics?