Free Practice Question
PS · Problem Solving
505-555
Combinations
A café is displaying 8 colorful plates on a shelf in a single line. How many different arrangements of plates can be made if there are 5 red plates and 3 green plates?
Answer Choices
Correct answer marked below56
Correct
B
24
C
27
D
48
E
64
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Explanation
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Official Explanation
Official
To find the total arrangements of these 8 plates, we calculate it as 8!. However, since there are 5 plates of one…
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Comments
2
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S
SiddharthJan 7, 2025
Greatt
M
MohamedFeb 19, 2024
Thank you very much!
What this question tests
What it tests
Whether you can count arrangements and selections correctly — permutations vs. combinations.
Common trap
Overcounting: treating a selection as ordered when order does not matter, or forgetting to divide by duplicates.
Details
Difficulty
505-555
Type
PS
Category