Free Practice Question
PS · Problem Solving
505-555
Combinations
At a dining establishment, there are a choices of starters, b + 2 main dishes, and c options for dessert. If you select 1 starter, 1 main dish, and 1 dessert, how many total combinations can you create for your meal?
Answer Choices
Correct answer marked belowA
a + b + c + 2
B
abc + ac
a (b+2) c
Correct
D
ab + 2
E
abc + 1/3
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Explanation
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Official Explanation
Official
At a dining establishment, there are a choices of starters, b + 2 main dishes, and c options for dessert. If you select 1 starter, 1 main dish, and 1 dessert, how many total combinations can you create for your meal? A. a + b + c + 2 B. abc + ac C. ab + c + 2 D. abc + 2 E. abc + 1/3 To determine the total number of meal combinations, we can break the process into three stages. Stage 1: Choose a starter. There are a…
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Comments
2
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L
LauraFeb 2, 2024
Amazing
A
aswinMar 18, 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