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Home » r = \fraca + b - z2 - Aurero

r = \fraca + b - z2 - Aurero

📅 March 13, 2026 👤 scraface

Mar 13, 2026

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📌 Now, subtract the number of arrangements where the two N's are adjacent.

📌 Treat the two adjacent N's as a single block "NN". Then we are arranging the four units: B, A, A, A, NN — a total of 5 units with 3 identical A's.

📌 Number of such arrangements:

📌 Therefore, the number of arrangements where the two N's are **not adjacent** is:

📌 Thus, the number of valid distinct arrangements is:

📌 \boxed{40}

📌 Question: A smart city integrator in San Francisco is analyzing traffic patterns and observes that 6 autonomous vehicles arrive at an intersection at random times during a 10-minute window. Each vehicle independently chooses a 2-minute interval (possibly overlapping) during the window: [0,10), and we are to compute the probability that all 6 vehicles arrive within some continuous 2-minute subinterval of [0,10), assuming uniform and independent arrival times.

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