Alice, Bill, Cathy, Donald and Eve were in a room drawing
pictures. There were 15 marker pens of different colors in the room.
There were three red pens, three blue pens, three yellow pens, three green pens,
and three orange pens. Each of these kids grabbed three pens of different
colors.
Create a Table below with X representing pen not
grabbed and Y representing pen grabbed, using the information that follows.
Alice did not grab the yellow pen. Bill did not grab the blue
pen. Cathy did not grab the orange pen. Donald did not grab the
green pen. Eve did not grab the red pen.

red 
blue 
yellow 
green 
orange 
Alice 


X 


Bill 

X 



Cathy 




X 
Donald 



X 

Eve 
X 




Since Eve has all the color pens that Donald has, we have

red 
blue 
yellow 
green 
orange 
Alice 


X 


Bill 

X 



Cathy 




X 
Donald 

Y 
Y 
X 
Y 
Eve 
X 
Y 
Y 

Y 
Since three of them grabbed both the red and the green pen, we
have

red 
blue 
yellow 
green 
orange 
Alice 
Y 

X 
Y 

Bill 
Y 
X 

Y 

Cathy 
Y 


Y 
X 
Donald 

Y 
Y 
X 
Y 
Eve 
X 
Y 
Y 

Y 
And because all the boys have an orange pen, we have

red 
blue 
yellow 
green 
orange 
Alice 
Y 

X 
Y 

Bill 
Y 
X 

Y 
Y 
Cathy 
Y 


Y 
X 
Donald 

Y 
Y 
X 
Y 
Eve 
X 
Y 
Y 

Y 
Because each of these kids grabbed three
pens of different colors, we add X on those rows with three pens (Y) already.

red 
blue 
yellow 
green 
orange 
Alice 
Y 

X 
Y 

Bill 
Y 
X 
X 
Y 
Y 
Cathy 
Y 


Y 
X 
Donald 
X 
Y 
Y 
X 
Y 
Eve 
X 
Y 
Y 
X 
Y 
There are only 3 pens for each color, therefore on
yellow and orange column, we have

red 
blue 
yellow 
green 
orange 
Alice 
Y 

X 
Y 
X 
Bill 
Y 
X 
X 
Y 
Y 
Cathy 
Y 

Y 
Y 
X 
Donald 
X 
Y 
Y 
X 
Y 
Eve 
X 
Y 
Y 
X 
Y 
Since each kid grabbed 3 pens, it is now obvious that
the blue pen was grabbed by Alice and not Cathy.
The table below show the color marker pens
each kid grabbed:

red 
blue 
yellow 
green 
orange 
Alice 
Y 
Y 
X 
Y 
X 
Bill 
Y 
X 
X 
Y 
Y 
Cathy 
Y 
X 
Y 
Y 
X 
Donald 
X 
Y 
Y 
X 
Y 
Eve 
X 
Y 
Y 
X 
Y 
Alice grabbed the red, blue and green pens.
Bill grabbed the red, green and orange pens.
Cathy grabbed the red, yellow, and green pens.
Donald grabbed the blue, yellow, and orange pens.
Eve grabbed the blue, yellow, and orange pens.
