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HOKA ONE ONE200917.

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Hoka One One Annecy2009 Nicolas Mermoud Jean-Luc Diard .

2011 1 .

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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."The positions of the 4 R and L flowers (2 R, 2 L) must be such that all R’s occupy the earliest 2 of these 4 positions, and the L’s occupy the last 2.But since the types are indistinguishable, we count the number of ways to assign positions to the types under the constraint.Alternative approach:First, choose 5 positions out of 5 for placing the flowers — but since flower types have repetition, we count the number of distinct permutations where both R’s come before both L’s.Let’s think combinatorially: Among all distinct sequences of 2 R’s, 2 L’s, and 1 T, how many have all R’s before all L’s?Let’s denote such sequences as valid if, in order, every R appears before every L.We can fix the positions of the 2 R’s, 2 L’s, and 1 T, then impose the constraint that the largest R index < smallest L index.But a more efficient method: consider the relative order of the R’s and L’s only.