If Goodwin has 4 distinct pairs of shoes and 3 unique hats, how many combinations of one pair of shoes and one hat can he create?

Correct answer marked below

A

3

B

4

C

7

12

Correct

E

16

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Official Explanation

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Goodwin can select 1 pair of shoes from 4 options and 1 hat from 3 options. Therefore, we…

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M

MaiyaMay 23, 2024

thank you very much!

9

9351_ShwetaOct 19, 2024

Great question!

What this question tests

Whether you can count arrangements and selections correctly — permutations vs. combinations.

Overcounting: treating a selection as ordered when order does not matter, or forgetting to divide by duplicates.

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