To calculate the total number of ways Mykel can plan the menu, we need to multiply the number of options for each category.
Number of ways to choose 4 appetizers from 12: 12 choose 4 = 12! / (4!(12-4)!) = 495 ways
Number of ways to choose 3 entrees from 8: 8 choose 3 = 8! / (3!(8-3)!) = 56 ways
Number of ways to choose 3 side dishes from 9: 9 choose 3 = 9! / (3!(9-3)!) = 84 ways
Total number of ways to plan the menu = 495 * 56 * 84 = 2238720 ways
Therefore, there are 2,238,720 different ways for Mykel to plan the menu.
Mykel is planning a banquet for 150
guests. He needs to select 4
appetizers, 3
entrees, and 3
side dishes. Carson's Catering has 12
appetizers, 8
entrees, and 9
side dishes to choose from. How many different ways are there for Mykel to plan the menu?
1 answer
1 answer