two imposters and seven crewmates
Source: Canada Repêchage 2023/1 CMOQR
March 25, 2024
combinatorics
Problem Statement
There are two imposters and seven crewmates on Polus. How many ways are there for the nine people to split into three groups of three, such that each group has at least two crewmates? Assume that the two imposters and seven crewmates are all distinguishable from each other, but that the three groups are not distinguishable from each other.