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📅 April 17, 2026 👤 scraface

Apr 17, 2026

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📌 Therefore, the number of distinct configurations is \(\boxed{10}\).

📌 Question:** An environmental engineer is evaluating 6 different renewable energy sources. In how many ways can she select a subset of at least 2 and at most 5 sources to pilot in a new solar-wind hybrid system?

📌 We are to compute the number of subsets of a 6-element set with size between 2 and 5, inclusive.

📌 The number of subsets of size \( k \) is \( \binom{6}{k} \). So we compute:

📌 \binom{6}{2} + \binom{6}{3} + \binom{6}{4} + \binom{6}{5}

📌 Calculate each term:

📌 \binom{6}{2} = 15, \quad \binom{6}{3} = 20, \quad \binom{6}{4} = 15, \quad \binom{6}{5} = 6

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