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Home » how to work out the mean in maths - Anadea

how to work out the mean in maths - Anadea

📅 May 15, 2026 👤 scraface

May 15, 2026

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📌 Now count the number of arrangements where the most permeable layer is directly above the least permeable layer. Treat the pair (least, most) as a single unit. There are 5 positions this pair can occupy in a vertical stack of 6: positions 1–2, 2–3, ..., 5–6. For each such position, the pair is fixed in order, and the remaining 4 layers can be arranged in:

📌 So total number of invalid arrangements is:

📌 \times 24 = 120

📌 Thus, the number of valid arrangements is:

📌 - 120 = \boxed{600}

📌 Question: A box contains 7 red sensors and 9 blue sensors. If a technician randomly selects 5 sensors without replacement, what is the probability that exactly 3 are red and 2 are blue?

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