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?
+2863 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
Give yourself a point!
