document.write( "Question 233225: 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( "b) 2 face cards and 3 non-face cards
\n" ); document.write( "c) 2 red cards, 2 clubs and a spade
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Algebra.Com's Answer #172150 by stanbon(75887)\"\" \"About 
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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
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\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
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\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
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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