- #1
TbbZz
- 37
- 0
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?
Homework Equations
nCr
nPr
(we can use calculators)
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.