document.write( "Question 1202739: In a certain card game, players are dealt nine cards from a standard 52 card deck. How many hands are possible? \n" ); document.write( "
Algebra.Com's Answer #837815 by math_tutor2020(3817)\"\" \"About 
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\n" ); document.write( "n = 52 cards total
\n" ); document.write( "r = 9 selections
\n" ); document.write( "I'm not familiar with the rules of this 9-card game, but I'll assume the order doesn't matter.\r
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\n" ); document.write( "\n" ); document.write( "Since the order doesn't matter, it leads to the nCr combination formula.
\n" ); document.write( "n C r = (n!)/(r!(n-r)!)
\n" ); document.write( "52 C 9 = (52!)/(9!*(52-9)!)
\n" ); document.write( "52 C 9 = (52!)/(9!*43!)
\n" ); document.write( "52 C 9 = (52*51*50*49*48*47*46*45*44*43!)/(9!*43!)
\n" ); document.write( "52 C 9 = (52*51*50*49*48*47*46*45*44)/(9!)
\n" ); document.write( "52 C 9 = (52*51*50*49*48*47*46*45*44)/(9*8*7*6*5*4*3*2*1)
\n" ); document.write( "52 C 9 = (13*17*10*7*2*47*46*5*11)/(1)
\n" ); document.write( "52 C 9 = 3,679,075,400\r
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\n" ); document.write( "\n" ); document.write( "Answer: 3,679,075,400 (approximately 3.679 billion)
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