Selena is buying an audio system for her car. She can choose among 3 types of stereos, 4 kinds of speakers, and 2 kinds of amplifiers. Which describes how Selena can show her options?
Answer
A
List the 3 types of stereos. Draw branches from each type and list the 4 speakers at the ends. Then, draw a branch from the speaker and list 1 amplifier at the end.
B
List the 3 types of stereos. Draw branches from each type and list the 4 speakers at the ends.
C
List the 3 types of stereos. Draw branches from each type and list the 4 speakers at the ends. Then, draw branches from each speaker type and list the 2 amplifiers at the ends.
D
List 1 stereo. Draw a branch from the stereo and list 1 speaker at the end. Then, draw a branch from the speaker and list 1 amplifier at the end.
Explanation
A tree diagram should show each choice at every stage: first 3 stereo types, then 4 speaker types branching from each stereo, and then 2 amplifier types branching from each speaker. Choice C includes all three sets of options, so it represents Selena’s choices completely.
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