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A university cafeteria offers 4 flavors of pizza - pepperoni, chicken,
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28 Sep 2021, 09:29
28 Sep 2021, 09:29
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A university cafeteria offers 4 flavors of pizza - pepperoni, chicken, Hawaiian and vegetarian. If a customer has an option (but not the obligation) to add extra cheese, mushrooms or both to any kind of pizza, how many different pizza varieties are available ?
(A) 4
(B) 8
(C) 12
(D) 16
(E) 32
(A) 4
(B) 8
(C) 12
(D) 16
(E) 32
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A university cafeteria offers 4 flavors of pizza - pepperoni, chicken,
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28 Sep 2021, 09:49
28 Sep 2021, 09:49
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Carcass wrote:
A university cafeteria offers 4 flavors of pizza - pepperoni, chicken, Hawaiian and vegetarian. If a customer has an option (but not the obligation) to add extra cheese, mushrooms or both to any kind of pizza, how many different pizza varieties are available ?
(A) 4
(B) 8
(C) 12
(D) 16
(E) 32
(A) 4
(B) 8
(C) 12
(D) 16
(E) 32
Take the task of building a pizza and break it into stages.
Stage 1: Choose one of the flavors
There are 4 flavors of pizza (pepperoni, chicken, Hawaiian and vegetarian), so we can complete stage 1 in 4 ways
Stage 2: Choose whether to add extra cheese
We can either add extra cheese or not add extra cheese, so we can complete stage 2 in 2 ways.
Stage 3: Choose whether to add mushrooms
We can either add mushrooms or not mushrooms, so we can complete stage 3 in 2 ways.
By the Fundamental Counting Principle (FCP) we can complete all 3 stages (and thus build a pizza) in (4)(2)(2) ways (= 16 ways)
Answer: D
Note: the FCP can be used to solve the MAJORITY of counting questions on the GRE. So, be sure to learn it.
RELATED VIDEO
Re: A university cafeteria offers 4 flavors of pizza - pepperoni, chicken,
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22 Feb 2023, 14:05
22 Feb 2023, 14:05
Hi Brent GreenlightTestPrep
How about the option of adding both(mushroom & cheese) here? Does this not need to be taken into account? Thanks
How about the option of adding both(mushroom & cheese) here? Does this not need to be taken into account? Thanks
