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?

Guest Nov 18, 2019

#1**+1 **

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

CalculatorUser Nov 18, 2019