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Home » Thus, the total number of arrangements is: - Abbey Badges

Thus, the total number of arrangements is: - Abbey Badges

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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🔥 Popular Posts

Solving the quadratic: \( n = \frac{-7 \pm \sqrt{49 + 2640}}{6} = \fra...
\( \sqrt{2689} \approx 51.85 \), so \( n \approx \frac{44.85}{6} \appr...
Try n = 8: \( S_8 = \frac{8}{2}(10 + 21) = 4 \times 31 = 124 \) (too h...
Try n = 7: \( S_7 = \frac{7}{2}(10 + 18) = 3.5 \times 28 = 98 \)
Try n = 10: \( \frac{10}{2}(10 + 27) = 5 \times 37 = 185 \)
No integer n satisfies exactly—recheck:
Use exact: \( n = \frac{-7 + 51.85}{6} \approx 7.475 \) → No integer s...
But if we accept approximation: closest integer not valid. Recheck set...
Wait: Try n = 8 gives 124, n = 7 gives 98 — no match.
But if equation is correct, then solve exactly:

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