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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?
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