SOLUTION: I am having trouble solving the following problem: A group of 12 friends goes to a cinema complex that is showing 6 different movies. If the group splits up into subgroups base

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Question 413001: I am having trouble solving the following problem:
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?

Answer by sudhanshu_kmr(1152) About Me  (Show Source):
You can put this solution on YOUR website!

total no. of possible ways = 17C5 = 6188
(there is no restrictions, any subgroup may have any number of persons)