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Home » Solution: Compute $\textLCM(19, 23) = 19 \times 23 = 437$. - Network4

Solution: Compute $\textLCM(19, 23) = 19 \times 23 = 437$. - Network4

📅 May 18, 2026 👤 scraface

May 18, 2026

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📌 Corrected meaningful version: Suppose the drone operates over 7 days, visiting one delivery point per day, with each of 7 points visited exactly once. At random, what is the probability that P1 is visited on day 1, 2, or 3? That is, P1 is among the first 3 positions in the random permutation.

📌 Favorable permutations: Fix P1 in position 1, 2, or 3. For each choice of position (3 choices), the remaining 6 points can be permuted in $6!$ ways.

📌 Question: A geographer uses satellite imagery to classify 8 coastal zones into two categories: eroded (E) or stable (S), such that no two adjacent zones are both eroded. How many valid classification sequences exist?

📌 Solution: This is a classic recurrence problem. Let $a_n$ be the number of valid sequences of length $n$ with no two consecutive Es, using letters E and S.

📌 Each position can be S or E, but E cannot follow E.

📌 $a_n$: total valid sequences of length $n$

📌 $s_n$: valid sequences of length $n$ ending in S

📌 $e_n$: valid sequences of length $n$ ending in E

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