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what is subject in the sentence - Redraw

📅 May 4, 2026 👤 scraface

May 04, 2026

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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:

📌 inom{7}{3} = rac{7!}{3!(7-3)!} = rac{7 imes 6 imes 5}{3 imes 2 imes 1} = 35

📌 Since the roles are indistinguishable, we simply count the distinct groups of 3. Therefore, the number of different councils that can be formed is:

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