Jim, Kim, Larry, Minna, and Nancy had their
pizza dinner at a restaurant. Each of them had three toppings from
among the following: sausage, pepperoni, mushroom, olives, and green
pepper.
From the following information, we fill the
table below with "Y" (for haves).
1) The only topping that Jim and Larry had in common was
sausage.
2) The only topping Larry and Kim had in common was
mushroom.
3) The only topping Kim and Minna had in common was green
pepper.
4) The only topping Minna and Nancy had in common was
pepperoni.

sausage 
mushroom 
green pepper 
pepperoni 
olives 
Jim 
Y 




Larry 
Y 
Y 



Kim 

Y 
Y 


Minna 


Y 
Y 

Nancy 



Y 

We than fill out alternatively each cells in the
able with Y (for yes) and N (for No) since we know that:
1) Except for sausage, Jim cannot have what other
toppings Larry has.
2) Except for mushroom, Larry cannot have what
other toppings Kim has.
3) Except for green pepper, Kim cannot have
what other toppings Minna has.
4) Except for pepperoni, Minna cannot have what
other toppings Nancy has.

sausage 
mushroom 
green pepper 
pepperoni 
olives 
Jim 
Y 
X 
Y 
X 

Larry 
Y 
Y 
X 
Y 

Kim 
X 
Y 
Y 
X 

Minna 
Y 
X 
Y 
Y 

Nancy 
X 
Y 
X 
Y 

Finally, the last column is filled out since we
know each one of them has three toppings.

sausage 
mushroom 
green pepper 
pepperoni 
olives 
Jim 
Y 
X 
Y 
X 
Y 
Larry 
Y 
Y 
X 
Y 
X 
Kim 
X 
Y 
Y 
X 
Y 
Minna 
Y 
X 
Y 
Y 
X 
Nancy 
X 
Y 
X 
Y 
Y 
