Se extraen cinco cartas de una baraja de 52. cuantas combinaciones se pueden formar.

Answers

Answer 1

Se pueden formar 2,598,960 combinaciones únicas al extraer cinco cartas de una baraja de 52, utilizando el concepto de combinaciones sin repetición.

¿Cómo podemos determinar las combinaciones?

Para determinar el número de combinaciones que se pueden formar al extraer cinco cartas de una baraja de 52, utilizamos el concepto de combinaciones sin repetición. En este caso, el orden de las cartas no importa, por lo que estamos interesados en determinar cuántos grupos únicos de cinco cartas podemos seleccionar.

Utilizando la fórmula de combinaciones sin repetición, podemos calcularlo de la siguiente manera:

C(n, r) = n! / (r! * (n - r)!)

Donde:

n = número total de elementos (en este caso, 52 cartas en la baraja)

r = número de elementos seleccionados (en este caso, 5 cartas extraídas)

Aplicando los valores en la fórmula:

C(52, 5) = 52! / (5! * (52 - 5)!)

C(52, 5) = 52! / (5! * 47!)

C(52, 5) = (52 * 51 * 50 * 49 * 48) / (5 * 4 * 3 * 2 * 1)

C(52, 5) = 2,598,960

Por lo tanto, se pueden formar 2,598,960 combinaciones únicas al extraer cinco cartas de una baraja de 52.

Aprender más sobre combinaciones aquí:

https://brainly.com/question/28065038

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