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En un grupo de estudiantes, 13 prefieren solo Cálcu-
lo, 18 prefieren solo Física y 15 prefieren ambas ma-
terias. ¿Cuántos estudiantes son en total?

Ask by Christensen Delgado. in Peru
Mar 27,2025

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El total de estudiantes en el grupo es .

Solución

Para resolver el problema, vamos a utilizar el principio de inclusión-exclusión.
  1. Conocemos las siguientes cantidades:
    • Estudiantes que prefieren solo Cálculo:
    • Estudiantes que prefieren solo Física:
    • Estudiantes que prefieren ambas materias:
  2. Queremos encontrar el total de estudiantes:
    • Total de estudiantes que prefieren Cálculo:
    • Total de estudiantes que prefieren Física:
  3. El total de estudiantes en el grupo se calcula como:
Ahora, vamos a realizar la suma:
Calculate the value by following steps:
  • step0: Calculate:
  • step1: Add the numbers:

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Beyond the Answer

Para encontrar el total de estudiantes, podemos usar la fórmula de la unión de dos conjuntos. Sea A el grupo de estudiantes que prefieren Cálculo y B el grupo que prefiere Física. La cantidad total de estudiantes es:
Total = (solo Cálculo) + (solo Física) + (ambas) = 13 + 18 + 15 = 46.
Por lo tanto, el total de estudiantes es 46.
También, en este problema, lo esencial es recordar que los estudiantes que prefieren ambas materias están incluidos en las preferencias de Cálculo y Física. Así que hay que contarlos solo una vez para obtener el número correcto de estudiantes. ¡Matemáticas en acción!

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