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Question

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Problem
You're at a clothing store that dyes your clothes while you wait. The store offers

different articles of clothing and

colors.
Diagram A
Blue Orange Purple
Socks Blue Socks Orange Socks Purple Socks
Hat Blue Hat Orange Hat Purple Hat
Pants Blue Pants Orange Pants Purple Pants
Shirt Blue Shirt Orange Shirt Purple Shirt
Diagram B
Purple Blue Orange
Shirt Purple Shirt Blue Shirt Orange Shirt
Pants Purple Pants Blue Pants Orange Pants
Socks Purple Socks Blue Socks Orange Socks
Hat Purple Hat Blue Hat Orange Hat
If you randomly choose the article of clothing and the color, which of these diagrams can be used to find all of the possible outcomes?
Choose all answers that apply:
Choose all answers that apply:
(Choice A) Diagram A
A
Diagram A
(Choice B) Diagram B
B
Diagram B

Answer 1

To find all possible outcomes when combining articles of clothing with colors, we need to ensure that each article can be paired with each color, forming all combinations.

Diagram A organizes the articles of clothing in rows and the colors in columns, clearly showing the combinations (e.g., Blue Socks, Orange Pants, etc.). This layout allows us to see every combination.

Diagram B, on the other hand, does the same but organizes the colors in rows and the articles of clothing in columns, which also shows all combinations.

Since both diagrams represent all possible outcomes by showing every article of clothing paired with every color, both diagrams can be used to find all of the possible outcomes.

Therefore, the correct answers are:

• (Choice A) Diagram A
• (Choice B) Diagram B