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A restaurant menu has several options for tacos. There are 3

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Retired Moderator
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A restaurant menu has several options for tacos. There are 3 [#permalink] New post 05 Aug 2018, 14:21
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Question Stats:

94% (00:39) correct 5% (01:52) wrong based on 34 sessions
A restaurant menu has several options for tacos. There are 3 types of shells, 4 types of meat, 3 types of cheese, and 5 types of salsa. How many distinct tacos can be ordered assuming that any order contains exactly one of each of the above choices?

[Reveal] Spoiler: OA
180

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Retired Moderator
User avatar
Joined: 07 Jun 2014
Posts: 4803
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 171

Kudos [?]: 2915 [0], given: 394

Re: A restaurant menu has several options for tacos. There are 3 [#permalink] New post 07 Aug 2018, 06:02
Expert's post
Explanation

This problem tests the fundamental counting principle, which states that the total number of choices is equal to the product of the independent choices. Therefore, the total number of tacos is (3) (4)(3)(5) = 180 tacos.
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Re: A restaurant menu has several options for tacos. There are 3 [#permalink] New post 09 Sep 2018, 10:58
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Using the combination rule we can have such representation : 3C1*4C1*3C1*5C1 = 3*4*3*5 =180 tacos
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Re: A restaurant menu has several options for tacos. There are 3 [#permalink] New post 10 Sep 2018, 07:03
The answer is 180.

3*4*3*5 = 180
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Re: A restaurant menu has several options for tacos. There are 3 [#permalink] New post 09 Apr 2020, 09:44
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sandy wrote:
A restaurant menu has several options for tacos. There are 3 types of shells, 4 types of meat, 3 types of cheese, and 5 types of salsa. How many distinct tacos can be ordered assuming that any order contains exactly one of each of the above choices?

[Reveal] Spoiler: OA
180



Take the task of building a taco and break it into stages.

Stage 1: Select a type of shell
Since there are three types of shells to choose from, we can complete stage 1 in 3 ways

Stage 2: Select a type of meat
Since there are four types of meat to choose from, we can complete stage 2 in 4 ways

Stage 3: Select a type of cheese
Since there are three types of cheese to choose from, we can complete this stage in 3 ways

Stage 4: Select type of salsa
Since there are 5 types of salsa to choose from, we can complete this stage in 5 ways

By the Fundamental Counting Principle (FCP), we can complete all 4 stages (and thus build a taco) in (3)(4)(3)(5) ways (= 180 ways)

Answer: 180

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: A restaurant menu has several options for tacos. There are 3   [#permalink] 09 Apr 2020, 09:44
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