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why do you throw up when drunk - Decision Point

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 To ensure no two G plants (genetically modified) are adjacent, choose 3 out of the 4 available gaps to place one G plant in each.

📌 The number of ways to choose 3 gaps out of 4 is given by:

📌 Permute the genetically modified plants:

📌 Multiply the number of ways to arrange N plants, choose gaps, and arrange G plants:

📌 An AI-driven farming system selects 4 different sensors from a pool of 10 types to monitor soil health. How many ways can the system choose and order these sensors for installation on a drone, assuming each sensor type can be used at most once?

📌 This is a permutation problem where we select and order 4 distinct sensors from 10 available types.

📌 Since order matters and each sensor type is used at most once, we compute the number of permutations of 10 items taken 4 at a time:

📌 Two AI drones, Aegis and Valkyrie, are scheduled to scan a Martian field between 1:00 PM and 2:00 PM. Each drone independently selects a random time to start scanning within this hour and scans for exactly 15 minutes. What is the probability that their scanning periods overlap?

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