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15 votes
A sandwich shop offers 3 different kinds of bread, 4 different kinds of meat, and 6 different toppings. How many different sandwiches with one bread, one meat, and one topping are possible?​

User Maurobio
by
5.1k points

1 Answer

9 votes

Answer:

yeah

Explanation:

0

Your second impression was "right"; the answer is 36 in one restricted interpretation of the problem, in which a sandwich has precisely one type of bread, one type of meat, and one type of cheese.

The largest possible interpretation is that a sandwich consists of a top bread, 1 to 3 types of meat, 1 to 3 types of cheese, and a bottom bread which could be different from the top slice of bread (but two sandwiches are considered the same if the only difference is turning one upside down). The answer to that problem involves, for example, seven possible combination of meats, and is

(42)bread⋅(23−1)meat⋅(23−1)cheese=6⋅7⋅7=594

If you must use the same type of bread top and bottom the answer is

(41)bread⋅(23−1)meat⋅(23−1)cheese=4⋅7⋅7=396

User Jarod Elliott
by
5.1k points
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