Felicia is planning a bridal shower for her best friend. At the party, she wants to serve 3 beverages, 3 appetizers, and 3 desserts, but she does not have time to cook. She can choose from 15 bottled drinks, 11 frozen appetizers, and 14 prepared desserts at the supermarket. How many different ways can Felicia pick the food and drinks to serve at the bridal shower?

Respuesta :

Answer:

27,327,300

Step-by-step explanation:

The number of ways she can choose 3 beverages from 15 is ₁₅C₃ = 455.

The number of ways she can choose 3 appetizers from 11 is ₁₁C₃ = 165.

The number of ways she can choose 3 desserts from 14 is ₁₄C₃ = 364.

So the total number of combinations is 455 × 165 × 364 = 27,327,300.