Question

The Hoffmans are planning their next family night. They always have dinner out somewhere and then do something fun together. There are 2 adults and 7 children in the family. Each family member is allowed 4 meal suggestions, and each child is allowed 4 activity suggestions. Assuming no family members choose the same thing, how many different family night possibilities are there?

Answer 1

Step-by-step explanation

Number of children = 7

Number of adults = 2

Meal Suggestion per family member=4

Activity Suggestion per child = 4

Total number of family member = (7 + 2) = 9

Therefore, total meal suggestion

`9*4\text{ =36}`

Total activity suggestions

`7*4=28`

Hence the number of different possibilities

`36+28=64`

Answer

`64`