document.write( "Question 1109615: If a 5-card poker hand is dealt from a well-shuffled deck of 52 cards, how many different hands consist of the following:
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document.write( "Three of a kind? \n" );
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Algebra.Com's Answer #724639 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "Choose the common rank of the three in 13C1 ways.\r\n" ); document.write( "Choose the suits for the three in 4C3 ways\r\n" ); document.write( "Choose the two different ranks of the other two cards in 12C2 ways,\r\n" ); document.write( "to prevent the hand from being either four of a kind or a full\r\n" ); document.write( "house.\r\n" ); document.write( "Choose the suit for the higher ranking other card in 4C1 ways.\r\n" ); document.write( "Choose the suit for the lower ranking other card in 4C1 ways.\r\n" ); document.write( "\r\n" ); document.write( "Answer: (13C1)(4C3)(12C2)(4C1)(4C1) = 54912 ways.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |