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 5 children in the family. Each family member is allowed 3 meal suggestions, and each child is allowed 3 activity suggestions. Assuming no family members choose the same thing, how many different family night possibilities are there?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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 5 children in the family. Each family member is allowed 3 meal suggestions, and each child is allowed 3 activity suggestions. Assuming no family members choose the same thing, how many different family night possibilities are there?

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