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Three families celebrate Thanksgiving together: Alvarados, the Bells, and the Carsons. There are four people in each family. Afterward, they line up for a large group photo. How many ways can the 12 of them line up?

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 Nov 18, 2019
 #1
avatar+2551 
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The families are distinguishable, the people in the families are indistinguishable.

 

So we have to arrange four As, four Bs, and four Cs.

 

\(\frac{12!}{4!4!4!}\)

 

12!/(4!*4!*4!) = 34650

 Nov 18, 2019
 #2
avatar+106943 
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Good work CU     laugh    Give yourself a point!

 

Of course if family members are all differentl then there are   12! ways

Melody  Nov 18, 2019
edited by Melody  Nov 18, 2019

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