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The increase in revenue is calculated as: - High Altitude Science

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 Thus, placing 3 G’s in 5 arbitrary positions with no two adjacent depends on the layout.

📌 Therefore, the number of ways to place 2 A’s and 3 G’s with no two A’s adjacent and no two G’s adjacent depends on the structure.

📌 This makes direct counting messy.

📌 Alternative approach: Use **recursive counting with states**, but for Olympiad, perhaps a known formula or symmetry.

📌 But let’s change direction: use **exponential generating functions with separation**, or accept that this requires advanced combinatorics.

📌 However, for the purpose of a math olympiad, the intended solution may use **inclusion of arrangement with adjacency restriction via deletion**.

📌 But after careful consideration, a more tractable and correct method is:

📌 Use the principle of inclusion-exclusion on adjacency pairs** — but that’s too vast.

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