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Home » Cactuar: The Unbelievable Habit Everyone’s Talking About (Yes, It Exists!) - ECD Germany

Cactuar: The Unbelievable Habit Everyone’s Talking About (Yes, It Exists!) - ECD Germany

📅 May 11, 2026 👤 scraface

May 11, 2026

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📌 Solution: We are to count the number of sequences of length 7 using symbols W, M, C such that:

📌 The remaining 5 days are filled with M and C (but not all C)

📌 Step 1: Choose positions for the 2 non-adjacent W days in 7 positions.

📌 Indeed, this counts the number of ways to place 2 indistinct non-adjacent markers in 7 slots. So there are 15 valid position sets for W.

📌 Subtract the one case where all 5 are C: $ 32 - 1 = 31 $ valid assignments.

📌 Thus, total sequences: $ 15 imes 31 = 465 $.

📌 Question: A coral reef monitoring system uses 5 different sensors to track fish movement. Each sensor independently fails with probability $

📌 Question: A climate scientist analyzes 10 years of ocean temperature data from the Great Barrier Reef and selects 4 years at random to study extreme heat events. If 3 of the 10 years show record-breaking temperatures, what is the probability that at least 2 of the selected years are record-breaking?

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