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📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 S(8,1) + S(8,2) + S(8,3) + S(8,4) = 1 + 127 + 966 + 3010 = 4104

📌 Thus, there are 4104 distinct ways to distribute the 8 different seeds into 4 identical plantbeds.

📌 We are choosing 3 distinct inhibitors from 10 total, but with restriction: a specific pair (say A and B, the reactive ones) cannot both be included.

📌 The number of ways to partition $ 2n $ distinct people into $ n $ unordered pairs is:

📌 But we must confirm: are the researchers distinguishable? Yes. Are the groups indistinct? Yes. So no further constraints.

📌 Thus, the number of distinct groupings is $ 15 $.

📌 Total ordered assignments: $ 15 imes 6 imes 1 = 90 $

📌 Now, count how many 3-element subsets have median 7.

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