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Home » Break the Guesswork—Use This Ski Length Chart to Level Up Your Season! - Professionaloutdoormedia

Break the Guesswork—Use This Ski Length Chart to Level Up Your Season! - Professionaloutdoormedia

📅 May 15, 2026 👤 scraface

May 15, 2026

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📌 An anthropologist records 9 distinct cultural practices in a village, each classified as either communal (C) or individual (I). How many sequences of classifications contain at least one pair of consecutive communal practices?

📌 Total sequences: \(2^9 = 512\)

📌 Let \(b_n\) be the number of binary sequences of length \(n\) with no two consecutive C’s (C = communal).

📌 Same recurrence: \(b_n = b_{n-1} + b_{n-2}\)

📌 \(b_1 = 2\) (C, I)

📌 \(b_2 = 3\) (II, IC, CI — not CC)

📌 \(b_3 = b_2 + b_1 = 3 + 2 = 5\)

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