A famous restaurant is known for its different combos of their menus. They have 6 choices of rice, 5 choices of dish, 5 choices of soup, 3 choices of drinks, 5 choices of desserts, 3 choices of pasta, 4 choices of pizza and 6 choices of side dishes. How many possible arrangement could we make from the following combos: 1. pasta, pizza, drinks, desserts 2. soup, drinks, desserts?

Question

Answer

Calculating Possible Arrangements of Combos in a Famous Restaurant

Given:

6 choices of rice

5 choices of dish

5 choices of soup

3 choices of drinks

5 choices of desserts

3 choices of pasta

4 choices of pizza

6 choices of side dishes

1. Arrangements for Pasta, Pizza, Drinks, and Desserts

For this combination, we need to calculate the total number of possible arrangements.

Solution:

There are 3 choices for pasta.

There are 4 choices for pizza.

There are 3 choices for drinks.

There are 5 choices for desserts.

Using the multiplication principle of counting, we can calculate the total number of possible arrangements:

Total number of arrangements = 3 x 4 x 3 x 5 = 180

Therefore, there are 180 possible arrangements for pasta, pizza, drinks, and desserts.

2. Arrangements for Soup, Drinks, and Desserts

For this combination, we need to calculate the total number of possible arrangements.

Solution:

There are 5 choices for soup.

There are 3 choices for drinks.

There are 5 choices for desserts.

Using the multiplication principle of counting, we can calculate the total number of possible arrangements:

Total number of arrangements = 5 x 3 x 5 = 75

Therefore, there are 75 possible arrangements for soup, drinks, and desserts.

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