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Home » where \( a \) and \( b \) are the legs. But we also know: - SUpost

where \( a \) and \( b \) are the legs. But we also know: - SUpost

📅 July 6, 2026 👤 scraface

Jul 06, 2026

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📌 Total fossils: 4 + 3 + 2 = 9, but we are selecting and arranging 4 distinct fossils? Or permuting all 9?

📌 But context implies selecting 4 out of 9 and arranging in order.

📌 So total number of ordered sequences of 4 fossils from 9:

📌 Now count favorable outcomes: sequences of 4 fossils with no two ferns adjacent.

📌 Lets consider the positions of the 4 selected fossils: label positions as 1 to 4, and place ferns such that no two are next to each other.

📌 We need to count the number of ways to choose 4 positions from 9 (but order matters in sequence), so better to fix that we are selecting and arranging with constraints.

📌 Alternatively, interpret as: selecting 4 distinct fossils (order matters) from 9, with 4 fern, 3 cycad, 2 ginkgo, and requiring that in the sequence, no two ferns appear in consecutive positions.

📌 Step 1: Choose 4 fossils with possible types, then arrange them with no two ferns adjacent.

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