Question

Maya 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 12 bottled drinks, 12 frozen appetizers, and 10 prepared desserts at the supermarket. How many different ways can Maya pick the food and drinks to serve at the bridal shower

Answer 1

Answer: 5808000 ways

Step-by-step explanation:

When it comes to selection, the combination formula is used to calculate the number of ways an item can be selected.

Using the combination formula of picking "r" items from a total of "n" items, the number of ways become:

nCr = n! /(n-r)! × r!

Hence,

to choose 3 different beverages from possible 12 = 12C3 = 220

to choose 3 different appetizers from possible 12 = 12C3 = 220

to choose 3 different deserts from possible 10 = 10C3 =120

Total number of ways to choose this meal = 220 × 220× 120 = 5808000 ways