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hilton st louis at the ballpark - Moon Smoking

📅 May 16, 2026 👤 scraface

May 16, 2026

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📌 5Question: A geographer uses 4 types of remote sensing data (satellite, drone, ground sensor, aerial) to study coastal erosion. If she selects 9 data samples to analyze over the week—3 satellite, 2 drone, 2 ground, and 2 aerial—how many distinct sequences can she analyze them in, assuming indistinguishability within each data type?

📌 Solution: The geographer has a total of 9 data samples: 3 satellite (S), 2 drone (D), 2 ground (G), and 2 aerial (A). Since the samples of the same type are indistinguishable, the number of distinct sequences is given by the multinomial coefficient:

📌 Question: An elementary school student has 5 identical red blocks, 4 identical blue blocks, and 3 identical green blocks. How many distinct towers can she build stacking all 12 blocks in a line?

📌 Solution: The student is arranging a total of $5 + 4 + 3 = 12$ blocks, with indistinguishability within each color. The number of distinct towers is the multinomial coefficient:

📌 Question: An ichthyologist tags 7 fish in a reef: 2 clownfish, 3 parrotfish, and 2 angelfish. If she observes one tagged fish each day for a week, how many distinct sequences of observed species can occur, assuming fish of the same species are indistinguishable?

📌 Solution: The ichthyologist observes 7 fish over 7 days—2 clownfish (C), 3 parrotfish (P), and 2 angelfish (A). Since fish of the same species are indistinguishable, the number of distinct observation sequences is:

📌 Question: A circular park has 5 distinguishable trees planted around its perimeter and 3 indistinguishable benches to be placed among them. If rotations of the arrangement are considered identical, how many distinct arrangements are possible?

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