Problem

A restaurant offers 6 appetizers and 8 main courses. In how many ways can a person order a two-course meal?
There are $\square$ ways a person can order a two-course meal.

Answer

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Answer

Final Answer: There are \(\boxed{48}\) ways a person can order a two-course meal.

Steps

Step 1 :A restaurant offers 6 appetizers and 8 main courses. In how many ways can a person order a two-course meal?

Step 2 :The person can choose one appetizer out of 6 and one main course out of 8. The number of ways to do this is the product of the number of choices for each course, because the choices are independent.

Step 3 :Let's denote the number of appetizers as \(a = 6\) and the number of main courses as \(m = 8\).

Step 4 :The total number of ways to order a two-course meal is given by the product of the number of appetizers and the number of main courses, i.e., \(w = a \times m\).

Step 5 :Substituting the given values, we get \(w = 6 \times 8 = 48\).

Step 6 :Final Answer: There are \(\boxed{48}\) ways a person can order a two-course meal.

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