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& 9 & -18 \ - DNSFLEX

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 Now, from the remaining 5 positions, we must place 2 A’s and 3 G’s (since 3 C’s are placed), **with no two A’s adjacent and no two G’s adjacent** — but wait: the condition is **no two identical letters adjacent**, so A’s cannot be adjacent to A, G’s to G.

📌 But A and G are different, so A and G can be adjacent.

📌 So constraints:

📌 The 2 A’s must not be adjacent.

📌 The 3 G’s must not be adjacent (i.e., no two G’s adjacent).

📌 C’s are already placed non-adjacent, so they don’t violate.

📌 A and G can be adjacent freely.

📌 So after placing 3 non-adjacent C’s (20 ways), we have 5 remaining positions to place 2 A’s and 3 G’s, with **no two A’s adjacent** and **no two G’s adjacent**.

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