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hotels closest to jacob javits convention center - GetMeFoodie

📅 May 2, 2026 👤 scraface

May 02, 2026

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📌 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

📌 Therefore, the number of such sequences is $\boxed{20480}$.

📌 Question: A home-schooled student models planetary alignments using 4 distinguishable satellites and 2 identical orbital slots. Each slot can hold any number of satellites, but the slots are indistinguishable. How many distinct configurations are possible?

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