Fizzbos sells only sandwiches. They offer five choices of bread, five types of meat toppings, four types of cheese and eight vegetable toppings. If you must choose exactly one type of bread, one meat, one type of cheese and one vegetable for your sandwich, how many different kinds of sandwiches can you order at Fizzbos?

Question

Mathematics

Guest

13 July, 21:20

Fizzbos sells only sandwiches. They offer five choices of bread, five types of meat toppings, four types of cheese and eight vegetable toppings. If you must choose exactly one type of bread, one meat, one type of cheese and one vegetable for your sandwich, how many different kinds of sandwiches can you order at Fizzbos?

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Answers (1)

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Dallas · Answer 1

800 possible combinations

Step-by-step explanation:

We can reach the answer by simple logic reasoning. Knowing Fizzbos' sandwiches have one type of bread, one meat, one type of cheese and one vegetable for their sandwiches, we can find the possible combinations like this:

We have 5 choices of bread, there are, of course, 5 different kinds of sandwiches to offer.

We also know there are 5 types of meat toppings which, combined with the 5 possible choices we already have, will make

5*5 possible combinations

Now we consider the 4 types of cheese combined with our previous kinds of sandwiches to get

5*5*4 possible combinations

Finally, we have 8 vegetable toppings, making our final result

5*5*4*8 = 800 possible combinations