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Home » Discover the Mysterious Giantess City Hidden Beneath Earth’s Surface! - RTA

Discover the Mysterious Giantess City Hidden Beneath Earth’s Surface! - RTA

📅 May 11, 2026 👤 scraface

May 11, 2026

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📌 \(64 - 21 = 43\)

📌 So the answer is \(\boxed{43}\)

📌 An anthropologist observes a community where 5 distinct rituals are performed in a sequence during a festival. If two specific rituals (say R1 and R2) cannot occur consecutively, how many valid performance orders are possible?

📌 Total number of unrestricted arrangements of 5 distinct rituals: \(5! = 120\)

📌 Now subtract the number of arrangements where R1 and R2 are consecutive.

📌 Treat R1 and R2 as a single block. Then we have 4 units to permute: the block and the other 3 rituals.

📌 Number of ways: \(4! = 24\), and within the block, R1 and R2 can appear as (R1,R2) or (R2,R1): 2 ways.

📌 So total invalid arrangements: \(24 \times 2 = 48\)

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