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How many different types of sandwiches can a customer order?

By Andrew Adams
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I’m studying for the GED exam so I’ve been learning math combinations and permutations, which is one of the many subjects that will be on the exam. I’ve been doing a few practice questions and I wanted to know if my answer was correct for this word problem:

A deli offers a made-to-order sandwich to its customers. Customers can choose one type of bread, one type of meat, one type of cheese, and one type of lettuce. If the deli has four types of bread, five types of meat, eight types of cheeses, and three types of lettuce, how many different types of sandwiches can a customer order? My answer was: 480. I multiplied 4 x 5 x 8 x 3. Is this the correct way to solve the problem.

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2 Answers

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Yes, just multiply the number of possibilities for each category, since the categories are all independent and there's no other stipulation.Your answer is correct.

$(4)(5)(8)(3)=480$

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This answer is correct. To find the total amount of combinations, you multiply the number of possibilities in each section. Here, $4 \times 5\times8\times3=480$ combinations.

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