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how many ounces of water should you drink - Commit Action

📅 April 29, 2026 👤 scraface

Apr 29, 2026

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📌 Question: A science educator creates a virtual lab where students explore molecular configurations using 5 hydrogen atoms, 2 oxygen atoms, and 1 nitrogen atom. If the atoms are arranged in a linear sequence to simulate a molecule, with atoms of the same type indistinct, how many distinct molecular configurations are possible?

📌 Solution: We are arranging a total of $ 5 + 2 + 1 = 8 $ atoms, where 5 are identical hydrogen (H), 2 are identical oxygen (O), and 1 is nitrogen (N). The number of distinct permutations is given by the multinomial coefficient:

📌 Thus, the number of distinct molecular configurations is $ 168 $.

📌 Question: A renewable energy mentor supervises a youth project where students build small-scale wind turbines. Each team constructs one turbine using 4 identical blades, 1 generator, and 1 tower section — all components placed in a fixed order along the base. If the generator and tower section are distinguishable but the blades are indistinct, how many distinct turbine configurations can be built?

📌 However, the phrase in a fixed order along the base suggests the order is set. But the question asks for distinct configurations — likely meaning different assignments of components to positions.

📌 Assume the 6 positions are fixed, and we assign:

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