elsa dutton

Welcome to the official site for Disneys Frozen. Stream movies and shorts, listen to an original podcast, meet characters, shop, watch videos, and more.

Welcome to the official site for Disneys Frozen. Stream movies and shorts, listen to an original podcast, meet characters, shop, watch videos, and more.
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.