The students in one class were asked to circle ALL the flavors of ice cream they like from this list: chocolate, vanilla, and strawberry.
Two students said they do not like ice cream.
• Nine liked vanilla or strawberry but not chocolate.
• Seventeen marked chocolate. (Six of them also chose one other flavor.)
None of them marked ONLY vanilla and none marked ONLY strawberry.
Five liked every kind of ice cream.
How many students were in the class?​