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Home » Total distance is \( 120 + 180 = 300 \) miles. - Get link 4share

Total distance is \( 120 + 180 = 300 \) miles. - Get link 4share

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 Solución: Para arreglos en círculo con reflexión, fijo un miembro para eliminar simetrías rotacionales y de reflexión. Los 4 miembros restantes se pueden arreglar de \(4!\) maneras, y los 3 no miembros de \(3!\) maneras. Total de arreglos:

📌 4! \times 3! = 24 \times 6 = \boxed{144}

📌 Pregunta: Calcula \(\dbinom{12}{5} - \dbinom{12}{4}\).

📌 Solución: Usando las propiedades de los coeficientes binomiales:

📌 \dbinom{12}{5} = \dbinom{12}{7}, \quad \dbinom{12}{4} = \dbinom{12}{8}

📌 Pero directamente:

📌 \dbinom{12}{5} = 792, \quad \dbinom{12}{4} = 495

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b(9) = 9^2 - 3(9) + 5 = 81 - 27 + 5 = 59
Therefore, $ b(s(4)) = 59 $.
\boxed{59}
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