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A university cafeteria offers 4 flavors of pizza – pepperoni, chicken,
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Updated on: 12 Oct 2014, 02:43
Updated on: 12 Oct 2014, 02:43
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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
Re: A university cafeteria offers 4 flavors of pizza – pepperoni, chicken,
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12 Oct 2014, 02:47
12 Oct 2014, 02:47
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jrymbei 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
There are 4 flavors of pizza and each can be:
1. Without cheese and mushrooms;
2. With cheese;
3. With mushrooms;
4. With cheese and mushrooms.
So, the total number of pizza varieties is 4*4 = 16.
Answer: D.
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Re: A university cafeteria offers 4 flavors of pizza – pepperoni, chicken,
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06 Dec 2018, 17:13
06 Dec 2018, 17:13
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jrymbei 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 GMAT. So, be sure to learn it.
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