# SOLUTION: How many of the possible 5-card hands from a standard 52-card deck would consist of the following cards? a) 4 clubs and 1 non-club b) 2 face cards and 3 non-face cards c) 2 red

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 Question 233225: How many of the possible 5-card hands from a standard 52-card deck would consist of the following cards? a) 4 clubs and 1 non-club b) 2 face cards and 3 non-face cards c) 2 red cards, 2 clubs and a spadeAnswer by stanbon(57412)   (Show Source): You can put this solution on YOUR website! How many of the possible 5-card hands from a standard 52-card deck would consist of the following cards? a) 4 clubs and 1 non-club Pick 4 clubs: 13C4 = 715 ways Pick a non-club: 39 # of possible hands: 715*39 = 27885 ----------------------------------------- b) 2 face cards and 3 non-face cards Pick 2 face cards: 66 Pick 3 non-face cards: 40C3 = 9880 # of possible hands: = 66*9880 = 652080 ----------------------------------------- c) 2 red cards, 2 clubs and a spade Pick 2 red card: 26C2 = 325 Pick 2 clubs: 13C2 = 78 Pick a spade: 13 # of possible hands: 325*78*13 = 329550 ========================================= Cheers, Stan H.