Question

Q3. You and a friend are going out to eat. The restaurant has 6 different appetizers, 3 different soups, 11 different entrees, and 6 different desserts. How many different types of meals can you form if you order an appetizer, soup, entree, and dessert?

Answer 1

Answer:

Therefore, exists 1188 different types of meals.

Step-by-step explanation:

We know that the  restaurant has 6 different appetizers, 3 different soups, 11 different entrees, and 6 different desserts.

So of the 6 appetizers we choose 1.

So of the 3 soups we choose 1.

So of the 11 entrees we choose 1.

So of the 6 desserts we choose 1.

We calculate:

$C_1^{6}\cdot C_1^{3}\cdot C_1^{11}\cdot C_1^{6}=\frac{6!}{1!(6-1)!}\cdot \frac{3!}{1!(3-1)!}\cdot \frac{11!}{1!(11-1)!}\cdot \frac{6!}{1!(6-1)!}= 6\cdot 3 \cdot 11\cdot 6=1188$

Therefore, exists 1188 different types of meals.