A catering service offers 12 appetizers, 8 main courses, and 4 desserts. A customer is to select 9 appetizers, 3 main courses, a

Question

3 years ago

13

nd 2 desserts for a banquet. In how many ways can this be done?

1 answer:

valentina_108 [34] · Answer 1 · 2022-06-29T10:04:52+03:00

Answer:

73920

Step-by-step explanation:

Number of ways to choose 9 appetizers from 12: ₁₂C₉

Number of ways to choose 3 main courses from 8: ₈C₃

Number of ways to choose 2 desserts from 4: ₄C₂

The total number of ways is:

₁₂C₉ × ₈C₃ × ₄C₂

= 220 × 56 × 6

= 73920