Principle of Inclusion and Exclusion with 3 Sets
Willy surveyed 76 people for a cake shop. Each person ate at least one of the cakes: strawberry, chocolate and vanilla. Here is the information Willy got:
- 57 ate strawberry, 50 ate chocolate, and 39 ate vanilla.
- 20 ate both strawberry and chocolate, but not vanilla.
- 15 ate strawberry and vanilla, but not chocolate.
- 5 ate chocolate and vanilla, but not strawberry.
Who ate all three types of cakes?