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Home » Let the middle integer be \( n \), then: - High Altitude Science

Let the middle integer be \( n \), then: - High Altitude Science

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 Let \(i, j\) be positions of the two R’s, \(k, l\) those of L’s, with \(i < j < k < l\) — not necessarily consecutive.

📌 We need the earliest R position < the latest L position? No: we need **all** R positions < **all** L positions.

📌 So: \( \max(\text{R positions}) < \min(\text{L positions}) \)

📌 There are 5 positions: 1,2,3,4,5.

📌 We choose 2 for R’s, 2 for L’s, 1 for T.

📌 We count the number of such assignments where the maximum R position < the minimum L position.

📌 Let \( r_{\max} = \max(\text{R positions}) \), \( l_{\min} = \min(\text{L positions}) \). We require \( r_{\max} < l_{\min} \).

📌 Since positions are from 1 to 5, the possible values are limited.

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