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A restaurant menu has several options for tacos. There are 3 [#permalink]
05 Aug 2018, 14:21

Expert's post

00:00

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?

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

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Expert's post

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?

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