VTMO 2026 - Grade 7 - Semifinal - SET 1 - Self-study Question 18

In a group of $50$ students, every student belongs to at least one of three clubs: Art, Music and Science.

Every Music Club member also belongs to the Art Club. Eight students belong to all three clubs. Nine belong only to Science. The Music Club has $20$ members and the Science Club has $18$ members. How many students belong only to Art?