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Home » Factorisation : \((x - 2)(x - 3) = 0\) - Abu Waleed Tea

Factorisation : \((x - 2)(x - 3) = 0\) - Abu Waleed Tea

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 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**.

📌 But wait: if we place 3 G’s in 5 positions with no two adjacent, is it even possible?

📌 Try: placing 3 G’s with no two adjacent in 5 positions.

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