From a standard 52-card deck of playing cards, how many 5-card hands have 2 clubs and 3 hearts? Solution Total no. of clubs=13 and no. of clubs required = 2 So, combination for club=13C2 Total no. of hearts=13 and no. of clubs required = 3 So, combination for club=13C3 So,OVerall combination = 13C2 * 13C3 =(13*12/2) *(13*12*11/6) = 22308.