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Home » A, PowerShell Examples That Will Blow Your Mind—Watch How Fast It Works! - Sterling Industries

A, PowerShell Examples That Will Blow Your Mind—Watch How Fast It Works! - Sterling Industries

📅 April 16, 2026 👤 scraface

Apr 16, 2026

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📌 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.

📌 But since fossils of same type are indistinct? No — in reality, though similar, in combinatorics we usually treat them as distinguishable by position or identity. But here, since they are different fossils, assume distinguishable.

📌 Now, model: we assign types to 4 selected fossils in sequence, with no two ferns adjacent.

📌 We proceed by counting valid type sequences with no two ferns adjacent, then multiply by number of ways to assign actual fossils.

📌 Wait: 1,3: not adjacent, add 4? 3 and 4 adjacent. 1,4: non-adjacent, add 2? 1 and 2 adjacent. 2,4: non-adjacent. Cant add 1 or 3. So maximum 2 ferns.

📌 So possible grams: k = 0, 1, or 2 ferns, with no two Fs adjacent.

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