document.write( "Question 853556: From a deck of 52 playing cards, how many different ways can a hand of 5 cards contain four of a kind? (4 cards have the same number and the 5th card of some other number and order is important). \n" ); document.write( "

Algebra.Com's Answer #517073 by Edwin McCravy(20055) $\"\"$ $\"About$

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From a deck of 52 playing cards, how many different ways can a hand of 5 cards contain four of a kind? (4 cards have the same number and the 5th card of some other number and order is important).
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document.write( "A.  If order in which they are dealt is NOT important:\r\n" );
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document.write( "Choose the rank of the 4 of a kind in 13 ways.\r\n" );
document.write( "Choose the 5th card any of the other 48 cards.\r\n" );
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document.write( "That's 13×48 = 624 possible four of a kind hands, where\r\n" );
document.write( "the order in which they are dealt is NOT important.\r\n" );
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document.write( "B.  If order in which they are dealt IS important:\r\n" );
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document.write( "Each of the 624 hands can be dealt in 5! or 120 different orders.\r\n" );
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document.write( "Answer: 624×5! = 624×120 =  74880\r\n" );
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document.write( "Edwin

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