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📰 Maximum max position is 8, but with 3 non-adjacent in 5 positions, the last can be at most 5 if first at 1,3,5 — or 1,3,6 or 1,3,7,8—but 8 ≥ 6, so 1,3,6 or 1,3,7, or 1,3,8, or 1,4,6, etc. 📰 Actually, in a subset of 5 consecutive positions, number of ways to choose 3 non-adjacent is equivalent to $ \binom{5 - 3 + 1}{3} = \binom{3}{3} = 1 $? That formula is for linear arrangement with no adjacency. 📰 Standard stars and bars: number of ways to choose k non-consecutive positions from n is $ \binom{n - k + 1}{k} $. 📰 Whats The Highest Credit Score Possible 2368821 📰 This Pergola With Roof Is The Secret Upgrade Every Home Needwatch How It Changes Your Yard 5189016 📰 Absolutely Shocking Footage Explodes Onlinecharley Kirk Caught In A Moment No One Will Forget 6679476 📰 The Rest May Be Missing How Fidelitys Stock Plan Services Transform Investments 1701459 📰 Air Fryer Hack Can You Really Safely Use Aluminum Foil Watch What This Did 1059161 📰 Best Apple Watch Deals 714581 📰 The Growth Of Bacteria Follows An Exponential Pattern 4302508 📰 A Fossil Analysis Reveals That A Prehistoric Forest Had 840 Tree Rings Across Recovered Specimens If Each Tree Averaged 35 Rings And 30 Of The Trees Were Conifers How Many Conifer Rings Are Represented In Total 766120 📰 City Cars Crazy Challengesplay The Ultimate City Car Game Now 8759610 📰 Can A Boy Girl Friendship Survive Wiki 9810103 📰 Lost Tales The Best Wii Games You Never Realized Were Worth Playing 3311655 📰 Tv Offers Black Friday 6055245 📰 Gozon Mediterranean Secrets Uncover The Hidden Treasures Of The Miniature Coastal Paradise 8174830 📰 Why Is My Sound Not Working Watch To Diagnose The Problem Fast 4649507 📰 Hut Stock Is Rising Fastheres How You Can Jump On The Trend Before It Blows Up 2793961