Question

The Wycoffs 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 3 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

756 possible family nights

Explanation

There are 9 family members ( = 2 adults + 7 children)

Given that each family member is allowed 3 meal suggestions, then there are 9x3 = 27 meal suggestions.

Given that each child is allowed 4 activity suggestions, then there are 4x7 = 28 activity suggestions.

Each family night consists of 1 meal and 1 activity. Therefore, there are 27x28 = 756 possible family nights