Answer:
number of ways to chose a three course meal is 90
Step-by-step explanation:
Given the data in the question;
Number of appetizer = 3
Number of soups = 5
Number of main courses = 3
Number of desserts = 3
Now,
Number of ways that appetizer can be chosen = ³C₁ = 3!/(1!(3-1)!) = 3
Number of ways that soups can be chosen = ⁵C₁ = 5!/(1!(5-1)!) = 5
Number of ways that main courses can be chosen = ³C₁ = 3!/(1!(3-1)!) = 3
Number of ways that desserts can be chosen = ³C₁ = 3!/(1!(3-1)!) = 3
So,
First we chose an appetizer, soup and main course.
Number of ways will be;
⇒ 3 × 5 × 3 = 45
Next, we chose a dessert, a soup & a main course.
Number of ways will be;
⇒ 3 × 5 × 3 = 45
Total number of ways to chose a three course meal
⇒ 45 + 45 = 90 ways
Therefore, number of ways to chose a three course meal is 90
