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Home » We compute the probability of such a multiplicity pattern. - SUpost

We compute the probability of such a multiplicity pattern. - SUpost

📅 July 6, 2026 👤 scraface

Jul 06, 2026

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📌 4Dr. Emily Carter returned to the fossil site and found a layered deposit. The top layer contains 45 fossilized fern fronds, the middle has twice as many, and the bottom layer has 30 fewer than the sum of the top two layers. If each frond represents one plant, what is the total number of fossil plants across all layers?

📌 Mid layer: 2 × 45 = <<2 × 45 = 90>>90

📌 Sum of top two: 45 + 90 = <<45 + 90 = 135>>135

📌 Bottom layer: 135 - 30 = <<135 - 30 = 105>>105

📌 Total: 45 + 90 + 105 = <<45 + 90 + 105 = 240>>240

📌 5Dr. Liam Chen is comparing artifact distributions in 4 villages. Village populations were 180, 240, 300, and 360. He wants to divide each village into clans with the same number of members, minimizing clan size while maximizing uniformity. What is the largest possible clan size that divides all four populations exactly?

📌 Find GCD of 180, 240, 300, 360

📌 GCD(180,240) = 60

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