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For dinner at a restaurant, there are x choices of appetizers, y + 1 m
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04 Oct 2021, 04:43
04 Oct 2021, 04:43
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For dinner at a restaurant, there are x choices of appetizers, y + 1 main courses, and z choices of dessert. How many total possible choices are there if you choose 1 appetizer, 1 main course, and 1 dessert for your meal?
A. x + y + z + 1
B. xyz + xz
C. xy + z + 1
D. xyz + 1
E. xyz + 1/2
A. x + y + z + 1
B. xyz + xz
C. xy + z + 1
D. xyz + 1
E. xyz + 1/2
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Re: For dinner at a restaurant, there are x choices of appetizers, y + 1 m
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04 Oct 2021, 05:35
04 Oct 2021, 05:35
Carcass wrote:
For dinner at a restaurant, there are x choices of appetizers, y + 1 main courses, and z choices of dessert. How many total possible choices are there if you choose 1 appetizer, 1 main course, and 1 dessert for your meal?
A. x + y + z + 1
B. xyz + xz
C. xy + z + 1
D. xyz + 1
E. xyz + 1/2
A. x + y + z + 1
B. xyz + xz
C. xy + z + 1
D. xyz + 1
E. xyz + 1/2
Take the task of " building of a meal" and break it into stages.
Stage 1: Select an appetizer
Since there are x choices, we can complete stage 1 in x ways
Stage 2: Select a main course
Since there are y+1 choices, we can complete stage 2 in y+1 ways
Stage 3: Select a dessert
Since there are z choices, we can complete stage 3 in z ways
By the Fundamental Counting Principle (FCP), we can complete all 3 stages (and build the meal) in (x)(y+1)(z) ways (= xyz + xz ways)
Answer: B
Note: the FCP can be used to solve the MAJORITY of counting questions on the GRE. So, be sure to learn it.
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Re: For dinner at a restaurant, there are x choices of appetizers, y + 1 m [#permalink]
04 Oct 2021, 05:35
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