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Home » We seek the smallest positive \( n \) such that: - Imagemakers

We seek the smallest positive \( n \) such that: - Imagemakers

📅 May 1, 2026 👤 scraface

May 01, 2026

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🔥 Popular Posts

But after extensive analysis, the correct and most efficient known met...
Actually, let’s reframe using **the general formula for multiset permu...
A known approach: use **the principle of first placing the most freque...
Let’s try:
We have to place 3 C’s and 3 G’s, no two identical adjacent. Also 2 A’...
First, place the 3 C’s with no two adjacent. As before, number of ways...
But now, the remaining 5 positions must hold 2 A’s and 3 G’s, with no...
But as noted, placing 3 G’s in 5 positions with no two adjacent is onl...
Let’s compute how many ways to place 3 non-adjacent G’s in 5 positions...
Let the positions be $ p_1 < p_2 < p_3 $, $ p_{i+1} \ge p_i + 2 $.

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