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Home » Why This Drive Keeps Syncing is Ruining You (Fix It Fast!) - Feedz API

Why This Drive Keeps Syncing is Ruining You (Fix It Fast!) - Feedz API

📅 May 16, 2026 👤 scraface

May 16, 2026

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📌 Question: A climatologist records daily rainfall anomalies over a 7-day period, each day’s anomaly being an integer from $0$ to $4$ mm, inclusive. How many sequences of anomalies are possible such that no two adjacent days have the same anomaly?

📌 Solution: Each day has $5$ possible values: $0, 1, 2, 3, 4$.

📌 For the first day, there are $5$ choices.

📌 For each subsequent day, the anomaly must differ from the previous day, so $4$ choices remain.

📌 Thus, total number of valid sequences is:

📌 \times 4^{6}

📌 4^6 = (2^2)^6 = 2^{12} = 4096

📌 \times 4096 = 20480

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