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can sparkling water cause gas - Richter Guitar

📅 May 4, 2026 👤 scraface

May 04, 2026

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Let the positions be $ p_1 < p_2 < p_3 $, $ p_{i+1} \ge p_i + 2 $.
Set $ q_i = p_i - (i-1) $, then $ q_1 < q_2 < q_3 $ in $ \{1,\dots,3\}...
$ q_3 = p_3 - 2 \le 8 - 2 = 6 $, but with $ q_1 \ge 1 $, $ q_2 \ge q_1...
Maximum max position is 8, but with 3 non-adjacent in 5 positions, the...
Actually, in a subset of 5 consecutive positions, number of ways to ch...
Standard stars and bars: number of ways to choose k non-consecutive po...
Here, n = 5, k = 3, so $ \binom{5 - 3 + 1}{3} = \binom{3}{3} = 1 $.
So only **one** way to place 3 non-adjacent G’s in 5 specific position...
But it’s only possible if the 5 positions allow a 3-element non-adjace...
Actually, the number is not always 1. For example, {1,3,4} has adjacen...

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