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Home » Now substitute into the formula for $ r $: - Feedz API

Now substitute into the formula for $ r $: - Feedz API

📅 May 17, 2026 👤 scraface

May 17, 2026

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📌 R’s in {1,2}, need to choose 2 → \(\binom{2}{2} = 1\) way

📌 \( n \geq m+1 = 4 \), and \( n \leq 5 \), so \( n = 4 \) or \( 5 \)

📌 For each \( n \), L’s in positions ≥ n, choose 2 → number of ways: \(\binom{6 - n}{2}\)

📌 \( n = 4 \): 6−4=2 → \(\binom{2}{2} = 1\)

📌 \( n = 5 \): 6−5=1 → \(\binom{1}{2} = 0\)

📌 So only \( n = 4 \): 1 way

📌 T is in the remaining position: once R’s and L’s are placed, T is fixed

📌 So total for \( m=3, n=4 \): 1 (R choice) × 1 (L choice) = 1

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To convert to vertex form, complete the square:

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