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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 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?

Respuesta :

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

[tex]9\times4\text{ =36}[/tex]

Total activity suggestions

[tex]7\times4=28[/tex]

Hence the number of different possibilities

[tex]36+28=64[/tex]

Answer

[tex]64[/tex]

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