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Home » Question: How many positive four-digit numbers are divisible by 5? - AMAZONAWS

Question: How many positive four-digit numbers are divisible by 5? - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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📌 Thus, there are 210 distinct deployment sequences.

📌 \boxed{210}

📌 Question: An AI model evaluates soil health using 4 red soil sensors, 5 green moisture sensors, and 1 blue nutrient sensor. If one sensor is activated each day over 10 days, and sensors of the same color are indistinguishable, how many unique activation sequences are possible?

📌 Solution: We compute the number of distinct permutations of 10 sensors: 4 red (R), 5 green (G), and 1 blue (B). The number of sequences is:

📌 \frac{10!}{4! \cdot 5! \cdot 1!}

📌 10! = 3628800,\quad 4! = 24,\quad 5! = 120,\quad 1! = 1

📌 \frac{3628800}{24 \cdot 120 \cdot 1} = \frac{3628800}{2880} = 1260

📌 Thus, the number of unique activation sequences is $\boxed{1260}$.

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Reduction factor = (1 – 0.06)^2.5 ≈ 0.858
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