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Home » First, calculate the number of affected residents in each neighborhood: - Appfinity Technologies

First, calculate the number of affected residents in each neighborhood: - Appfinity Technologies

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 2 identical lilies (L)

📌 1 tulip (T)

📌 Without restrictions, the total number of distinct sequences is:

📌 \frac{5!}{2! \cdot 2! \cdot 1!} = \frac{120}{4} = 30

📌 However, we are given a constraint: **both roses must be visited before any lily**. This means the first appearance of a lily must come after the last rose.

📌 We proceed by counting the number of valid relative orders of roses (R₁, R₂) and lilies (L₁, L₂), treating them as distinguishable only by type, with the condition that all R's precede all L's.

📌 Step 1: Fix the relative order of R's and L's.

📌 The condition is that both R's come before both L's — that is, in the sequence, every R appears before every L. This is more restrictive than just "the two R’s together" or "R’s clustered."

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