Both Fred and Ed have a bag of candy containing a lemon drop, a cherry drop, and a lollipop. Each takes out a piece and eats it. What are the possible pairs of candies eaten?
A) LD-LD CD-LD LP-LP LD-LP CD-CD LD-LP LP-CD CD-LD LP-LD
B) LD-LD CD-LD LP-LP LD-CD CD-CD LD-LP LP-CD CD-LP LP-LD
C) LD-CD LD-CD LD-CD LD-LP LD-LP LD-LP CD-LP CD-LP CD-LP
D) CD-LD LD-LP LP-CD LP-LP LD-LD

Question

Both Fred and Ed have a bag of candy containing a lemon drop, a cherry drop, and a lollipop. Each takes out a piece and eats it. What are the possible pairs of candies eaten? 
A) LD-LD CD-LD LP-LP LD-LP CD-CD LD-LP LP-CD CD-LD LP-LD
B) LD-LD CD-LD LP-LP LD-CD CD-CD LD-LP LP-CD CD-LP LP-LD
C) LD-CD LD-CD LD-CD LD-LP LD-LP LD-LP CD-LP CD-LP CD-LP
D) CD-LD LD-LP LP-CD LP-LP LD-LD

Quizplus · Accepted Answer

Each person has the same set of candies (lemon drop, cherry drop, lollipop), so any combination of candies eaten by Fred and Ed is possible, including eating the same type of candy. Option B lists all unique combinations, including those where they eat the same candy and those where they eat different candies.

Both Fred and Ed Have a Bag of Candy Containing