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3. ¿De cuántas maneras se puede leer la palabra “RAZONA”？a) 62 b) 63 c) 65 d) 32

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Nov 27,2024

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b) 63

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La palabra "RAZONA" tiene 6 letras, donde la letra "A" se repite dos veces. Para encontrar cuántas maneras se puede leer la palabra, usamos la fórmula de permutaciones de letras no distintas: \( \frac{n!}{n_1! \times n_2!} \), donde \( n \) es el total de letras y \( n_1, n_2 \) son las frecuencias de cada letra. Por lo tanto, tenemos \( \frac{6!}{2!} = \frac{720}{2} = 360 \) formas. Sin embargo, ninguna de las opciones dadas es correcta. Los errores comunes al calcular permutaciones suelen venir de no tener en cuenta las letras repetidas. Asegúrate siempre de ajustar el total dividiendo por el factorial de las repeticiones. Practicar con ejemplos diferentes puede ayudarte a dominar esta técnica y evitar confusiones en el futuro.

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