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Home » Day 2: 20% of 6,800 = - AIKO, infinite ways to autonomy.

Day 2: 20% of 6,800 = - AIKO, infinite ways to autonomy.

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 2Question: An autonomous farming drone in Kazakhstan must fly over 5 distinct crop fields—2 wheat, 2 corn, and 1 soybean—recording data at a time. If the drone records one field per day for 5 consecutive days, and fields of the same crop are indistinguishable, how many distinct sequences of field visits are possible?

📌 Solution: We are asked to count the number of distinct sequences in which the drone can visit 5 fields: 2 wheat (W), 2 corn (C), and 1 soybean (S), where fields of the same crop are indistinguishable. This is a permutation of a multiset.

📌 The total number of distinct sequences is given by the multinomial coefficient:

📌 Thus, there are 30 distinct sequences in which the drone can visit the fields.

📌 Question: A zoologist in the Amazon observes 6 distinct species of birds over a week, recording one species per day. Over the 6 days, the zoologist sees 3 toucans, 2 macaws, and 1 parrot, with indistinguishable recordings within species. How many unique activity sequences could the zoologist have recorded?

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