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Home » How to Turn a Turkey into Legends: The Shocking Disguise Method! - Carbonext

How to Turn a Turkey into Legends: The Shocking Disguise Method! - Carbonext

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 \(_ \, N \, _ \, N \, _ \, N \, _ \, N \, _ \, N \, _ \) → 6 gaps.

📌 We must place 3 P's into these 6 gaps, with at most one P per gap (to prevent adjacency).

📌 The number of ways to choose 3 distinct gaps from 6 is:

📌 \binom{6}{3} = 20

📌 Each choice corresponds to a unique sequence where no two P’s are adjacent and exactly 3 are positive.

📌 Thus, the number of valid test result sequences is \(\boxed{20}\).

📌 Question:** A climate therapist in Boston is designing 5 distinct mindfulness sessions using 3 sensory environments: forest sounds, ocean waves, and forest silence. Each session uses exactly one environment, and each environment must be used at least once. How many distinct schedules are possible?

📌 We are assigning 5 distinguishable sessions to 3 distinguishable environments (forest, ocean, silence), such that each environment is used at least once. Since the sessions are distinct, this is a **surjective function** from a 5-element set to a 3-element set, with labeled outputs.

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