Utilizando un mazo regular de 52 cartas, ¿cuántas manos de cinco cartas pueden formarse con cada una de las características que se piden a continuación?
Escalera de color (straight flush): 5 cartas consecutivas del mismo palo. Ejemplo: 6, 7, 8, 9 y 10 de corazones.
Poker (four of a kind): 4 cartas del mismo número o rango (para cartas reales).
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Permutación: Número de modos distintos en los cuales r objetos tomados de un conjunto de n objetos distintos se pueden acomodar, donde el orden en el cual se acomodan importa.
nPr=(n−r)!n!
Combinación: Número de selecciones posibles distintas de r objetos tomados de un conjunto de n objetos distintos, donde el orden en el cual los objetos seleccionados se disponen no importa.