(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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. Relevant 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 is6188, and I was unable to get this answer. I am looking for guidance on answering this problem. Thanks in advance for the help.

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# Homework Help: Combinations Problem

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