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the autobiography of malcolm x - ClickBalance

📅 May 18, 2026 👤 scraface

May 18, 2026

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📌 Each such selection includes exactly one F, one R, one D.

📌 Are there other selections of 3 strata that include all three types? Only if a stratum has two types, which it doesnt. So all and only the triples with one from each group work.

📌 Hence, the number of valid combinations is:

📌 A pharmacologist is testing combinations of 3 distinct experimental drugs from a pool of 8, each targeting a different neurochemical pathway: A, B, C, D, E, F, G, H. If drugs targeting pathways A and B cannot be used together due to adverse synergy, how many valid 3-drug combinations can be selected?

📌 We first compute the total number of ways to choose any 3 drugs from 8:

📌 If both A and B are included, the third drug can be any of the remaining 6 drugs (C, D, E, F, G, H):

📌 Each such combination includes A, B, and one other — invalid due to synergy.

📌 Therefore, the number of acceptable 3-drug combinations is:

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