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. Sophie is making a sandwich. She has 4 different choices of meat, 3 different choices of cheese, 6 different choices of vegetables, and 4 different choices of dressings. How many different types of sandwiches are possible for Sophie to make if she is only allowed one selection from each category?

User Yordanka
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1 Answer

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Final answer:

Sophie can make 288 different types of sandwiches.

Step-by-step explanation:

To determine the number of different types of sandwiches Sophie can make, we need to multiply the number of choices she has for each category. Sophie has 4 choices of meat, 3 choices of cheese, 6 choices of vegetables, and 4 choices of dressings. Using the Multiplication Principle, we multiply these numbers together: 4 x 3 x 6 x 4 = 288. Therefore, Sophie can make 288 different types of sandwiches.

User Chriamue
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