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Home » \(n(n+1) = 420\). - Red Crowns

\(n(n+1) = 420\). - Red Crowns

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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We are given that the bee visits 5 flowers:
2 identical roses (R)
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 befor...
We proceed by counting the number of valid relative orders of roses (R...
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...

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