Fred and Ed each have a bag of candy containing a lemon drop (LD), a cherry drop(CD), and a lollipop (LP). Each takes out a piece from their own bag and eats it. What are the possible pairs of candies eaten?

A) LD-CD, LD-CD, LD-CD, LD-LP, LD-LP, LD-LP, CD-LP, CD-LP, CD-LP
B) CD-LD, LD-LP, LP-CD, LP-LP, LD-LD
C) LD-LD, CD-LD, LP-LP, LD-LP, CD-CD, LD-LP, LP-CD, CD-LD, LP-LD
D) LD-LD, CD-LD, LP-LP, LD-CD, CD-CD, LD-LP, LP-CD, CD-LP, LP-LD

Question

Fred and Ed each have a bag of candy containing a lemon drop (LD) , a cherry drop(CD) , and a lollipop (LP) . Each takes out a piece from their own bag and eats it. What are the possible pairs of candies eaten?

A) LD-CD, LD-CD, LD-CD, LD-LP, LD-LP, LD-LP, CD-LP, CD-LP, CD-LP
B) CD-LD, LD-LP, LP-CD, LP-LP, LD-LD
C) LD-LD, CD-LD, LP-LP, LD-LP, CD-CD, LD-LP, LP-CD, CD-LD, LP-LD
D) LD-LD, CD-LD, LP-LP, LD-CD, CD-CD, LD-LP, LP-CD, CD-LP, LP-LD

Quizplus · Accepted Answer

Each person has three choices of candy, and since there are two people, each choice by the first person can be paired with each choice by the second person, resulting in 3x3=9 possible pairs. Option D lists all unique combinations without repetition, covering all possibilities.

Fred and Ed Each Have a Bag of Candy Containing