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- An anthropologist is studying group dynamics in a community of 7 individuals. If they wish to form a council of 3 members where the roles are indistinguishable, how many different councils can be formed?
- To solve the problem of forming a council of 3 members from a group of 7 individuals where the roles are indistinguishable, we need to calculate the number of combinations of 7 individuals taken 3 at a time. This is given by the binomial coefficient:
