Question

g A catering service offers 7 %E2%80%8b Appetizers, 9 main%E2%80%8B courses, and 5 desserts. A banquet committee is to select 2 %E2%80%8b Appetizers, 8 main%E2%80%8B courses, and 4 desserts. How many ways can this be%E2%80%8B done

Answer 1

945 ways

Explanation:

Total

• Number of Appetizers = 7
• Number of main courses = 9
• Number of desserts =5

Required Selection

• Number of Appetizers = 2
• Number of main courses = 8
• Number of desserts =4

2 Appetizers out of 7 can be selected in
`^7C_2` ways

8 main courses out of 9 can be selected in
`^9C_8` ways

4 desserts out of 5 can be selected in
`^5C_4` ways

Therefore, the number of ways this can be done

`=^7C_2 * ^9C_8 * ^5C_4`

=945 ways