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Puzzles/Logic puzzles/Pizzas/Solution

Reference material by Wikibooks contributors. This retains its source identity and is not 411 news reporting.

Puzzles | Logic puzzles | Pizzas | Solution Aaron - green pepper, onions and sausage Betty - green pepper, mushrooms and onions Charlie - mushrooms, pepperoni and sausage Debbie - green pepper, pepperoni and sausage Eric - mushrooms, onions and pepperoni Reasoning We are informed that B and D had green pepper, B and C had mushrooms, D and E had pepperoni and A and C had sausage, all marked with a Y. | A | B | C | D | E Green Pep | | Y | | Y | Mushrooms | | Y | Y | | Onions | | | | | Pepperoni | | | | Y | Y Sausage | Y | | Y | | We are also informed that the pairs B and D, B and C, D and E, and A and C, didn't share anything, except what is already marked with a Y. This eliminates the possibilities marked with an N. | A | B | C | D | E Green Pep | | Y | N | Y | N Mushrooms | N | Y | Y | N | Onions | | | | | Pepperoni | | N | | Y | Y Sausage | Y | N | Y | | Knowing everyone had 3 toppings allows us to place another Y. | A | B | C | D | E Green Pep | | Y | N | Y | N Mushrooms | N | Y | Y | N | Onions | | Y | | | Pepperoni | | N | | Y | Y Sausage | Y | N | Y | | And we know B didn't share with C or D. | A | B | C | D | E Green Pep | | Y | N | Y | N Mushrooms | N | Y | Y | N | Onions | | Y | N | N | Pepperoni | | N | | Y | Y Sausage | Y | N | Y | | Allowing us to place 2 more Ys. | A | B | C | D | E Green Pep | | Y | N | Y | N Mushrooms | N | Y | Y | N | Onions | | Y | N | N | Pepperoni | | N | Y | Y | Y Sausage | Y | N | Y | Y | D didn't share with E, A didn't share with C. | A | B | C | D | E Green Pep | | Y | N | Y | N Mushrooms | N | Y | Y | N | Onions | | Y | N | N | Pepperoni | N | N | Y | Y | Y Sausage | Y | N | Y | Y | N This allows us to place the remaining 4 Ys. | A | B | C | D | E Green Pep | Y | Y | N | Y | N Mushrooms | N | Y | Y | N | Y Onions | Y | Y | N | N | Y Pepperoni | N | N | Y | Y | Y Sausage | Y | N | Y | Y | N Surprisingly, no one chose green pepper, onions and pepperoni.