Question

Seventeen people raised their hands when I asked who wanted sausage on their pizza. I then asked who wanted pepperoni. Four people kept their hands raised and 7 others put their hands up. I then asked who wanted only pepperoni on their pizza. This time 5 people put their hands up. I asked about mushrooms. Thirteen people wanted mushrooms on their pizza. I know for a fact that 5 of those people also had their hands raised when I asked about pepperoni. I was getting a little confused, so I asked who wanted sausage only. Seven people raised their hands. Then I asked who wanted mushrooms only and

Answer 1

and two people raised their hands. Whew! How many people were in the group? How many people wanted (at least) sausage and mushrooms on their pizzas? How many people wanted only sausage and pepperoni? How many people wanted only pepperoni and mushroom? How many people wanted sausage, pepperoni, and mushrooms?