+0

# Math

0
46
2

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?

off-topic
Nov 18, 2019

#1
+2499
+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

Nov 18, 2019
#2
+106027
0

Good work CU         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