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**1. Homework Statement**

A group of 12 friends goes to a cinema complex that is showing 6 different movies. If the group splits up into subgroups based on movie preferences, how many subgroup combinations are possible?

**2. Homework Equations**

nCr

nPr

(we can use calculators)

**3. The Attempt at a Solution**

I tried all sorts of ways to solve this problem using nCr and nPr but I couldn't seem to figure it out. I also tried using the equations that involve repetitions, but they didn't seem to help. I also tried simply punching in (relevant) numbers for twenty minutes to help me figure out what functions to use.

The correct answer is

**6188**, and I was unable to get this answer. I am looking for guidance on answering this problem. Thanks in advance for the help.