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Home » S = Σ (−1)^(k) C(4−k, k) (77 − Σ Cant(X))^12 - Abu Waleed Tea

S = Σ (−1)^(k) C(4−k, k) (77 − Σ Cant(X))^12 - 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 pos...
But wait: if we place 3 G’s in 5 positions with no two adjacent, is it...
Try: placing 3 G’s with no two adjacent in 5 positions.
Let the G’s occupy 3 positions such that no two are adjacent.
Then gaps: between G’s must be at least one non-G.

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