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Wells Fargo Cic Building - Anadea

📅 May 15, 2026 👤 scraface

May 15, 2026

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📌 We are distributing 8 distinguishable samples into 3 distinguishable chambers with no chamber empty. This is equivalent to counting the number of surjective (onto) functions from a set of 8 elements to a set of 3 elements.

📌 We need to choose 3 distinct varieties from 10, where order does not matter:

📌 Each pair is paired with one of 5 delivery methods, and the pairing is applied uniformly per drug pair. So total combinations:

📌 Each such configuration represents a unique basis state with Hamming weight 4.

📌 Since the rover starts at one crater, visits all 5 in sequence, and returns via a fixed segment, but cyclic shifts are considered different (i.e., direction and start point matter), this is simply the number of permutations of 5 craters:

📌 Each permutation represents a unique route with distinct starting point and order.

📌 Since each of the 4 vents contributes one unique bacterial strain, and the lab analyzes them in sequence, each ordering corresponds to a permutation of the 4 strains.

📌 The number of distinct orderings is:

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