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Home » Thus, the number of distinct arrangements is $oxed67200$. - Crosslake

Thus, the number of distinct arrangements is $oxed67200$. - Crosslake

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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a^2 + b^2 = 25
Possible values for \(a^2\) are \(0, 1, 4, 9, 16, 25\). We check each:
\(a^2 = 0\), \(b^2 = 25\) gives \((a, b) = (0, \pm 5)\)
\(a^2 = 1\), \(b^2 = 24\) is not possible
\(a^2 = 4\), \(b^2 = 21\) is not possible
\(a^2 = 9\), \(b^2 = 16\) gives \((a, b) = (\pm 3, \pm 4)\)
\(a^2 = 16\), \(b^2 = 9\) gives \((a, b) = (\pm 4, \pm 3)\)
\(a^2 = 25\), \(b^2 = 0\) gives \((a, b) = (\pm 5, 0)\)
Counting all combinations for \((a, b)\):
\((0, \pm 5)\) gives 2 points: \((3, 9), (3, -1)\)

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