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📅 May 3, 2026 👤 scraface

May 03, 2026

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📌 Atlanta Falcons’ logo stolen in style—this classic emblem reveals something vile beneath the surface

📌 This Atlanta Falcons logo was never meant to shine—follow the clues, hear the silence withinQuestion: An entrepreneur is designing a system using 3 identical sensors, 5 identical drones, and 2 identical robotic arms to monitor crop health. If all components are activated one at a time over 10 consecutive time slots, how many distinct sequences of activation are possible?

📌 Solution: We are given a multiset of 10 components: 3 identical sensors (S), 5 identical drones (D), and 2 identical robotic arms (R). The number of distinct activation sequences is the number of distinct permutations of a multiset. The total number of sequences is given by the multinomial coefficient:

📌 \frac{10!}{3! \cdot 5! \cdot 2!}

📌 Calculate:

📌 10! = 3628800,\quad 3! = 6,\quad 5! = 120,\quad 2! = 2

📌 \frac{3628800}{6 \cdot 120 \cdot 2} = \frac{3628800}{1440} = 2520

📌 Thus, there are 2520 distinct activation sequences.

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