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Home » This Lethal Poison Hides in Your Kitchen – Stop Eating It Now! - Esdistancia

This Lethal Poison Hides in Your Kitchen – Stop Eating It Now! - Esdistancia

📅 March 17, 2026 👤 scraface

Mar 17, 2026

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📌 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.

📌 There are \(\binom{4}{2} = 6\) ways to place the two R’s in 4 slots (the other two are for L’s); the rest go to L’s. But since L’s are indistinct, each such placement defines a relative order.

📌 Only one of these 6 corresponds to both R’s before both L’s: R R L L.

📌 Thus, only **1** out of the \(\binom{4}{2} = 6\) ways to interleave R’s and L’s satisfies the condition.

📌 But these 6 interleavings are not equally likely when indistinguishable — actually, the number of distinct sequences where both R’s precede both L’s is equal to the number of ways to choose 2 positions for R’s such that both are before the positions of both L’s.

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