document.write( "Question 233225: How many of the possible 5-card hands from a standard 52-card deck would consist of the following cards?
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document.write( "a) 4 clubs and 1 non-club
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document.write( "b) 2 face cards and 3 non-face cards
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document.write( "c) 2 red cards, 2 clubs and a spade \n" );
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Algebra.Com's Answer #172150 by stanbon(75887)![]() ![]() ![]() 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? \n" ); document.write( "a) 4 clubs and 1 non-club \n" ); document.write( "Pick 4 clubs: 13C4 = 715 ways \n" ); document.write( "Pick a non-club: 39 \n" ); document.write( "# of possible hands: 715*39 = 27885 \n" ); document.write( "----------------------------------------- \n" ); document.write( "b) 2 face cards and 3 non-face cards \n" ); document.write( "Pick 2 face cards: 66 \n" ); document.write( "Pick 3 non-face cards: 40C3 = 9880 \n" ); document.write( "# of possible hands: = 66*9880 = 652080 \n" ); document.write( "----------------------------------------- \n" ); document.write( "c) 2 red cards, 2 clubs and a spade \n" ); document.write( "Pick 2 red card: 26C2 = 325 \n" ); document.write( "Pick 2 clubs: 13C2 = 78 \n" ); document.write( "Pick a spade: 13 \n" ); document.write( "# of possible hands: 325*78*13 = 329550 \n" ); document.write( "========================================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |