document.write( "Question 1196819: In the card game Crazy Eights, how many different eight-card hands can be dealt from a standard 52- card deck? \n" ); document.write( "
Algebra.Com's Answer #829848 by math_tutor2020(3817)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "n = 52 cards \n" ); document.write( "r = 8 selections \n" ); document.write( "The order doesn't matter\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Use the nCr combination formula\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "n C r = (n!)/(r!(n-r)!) \n" ); document.write( "52 C 8 = (52!)/(8!*(52-8)!) \n" ); document.write( "52 C 8 = (52!)/(8!*44!) \n" ); document.write( "52 C 8 = (52*51*50*49*48*47*46*45*44!)/(8!*44!) \n" ); document.write( "52 C 8 = (52*51*50*49*48*47*46*45)/(8!) \n" ); document.write( "52 C 8 = (52*51*50*49*48*47*46*45)/(8*7*6*5*4*3*2*1) \n" ); document.write( "52 C 8 = (30,342,338,208,000)/(40,320) \n" ); document.write( "52 C 8 = 752,538,150\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer is 752,538,150 \n" ); document.write( "(approximately 752.5 million) \n" ); document.write( " \n" ); document.write( " |