document.write( "Question 812107: Five cards are drawn at random from an ordinary deck of 52 cards. In how many ways is it possible to draw two red aces and two black jacks?\r
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Algebra.Com's Answer #489020 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "48 is wrong.\r\n" );
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document.write( "The answer is 1 way if it doesn't matter what order you draw those four \r\n" );
document.write( "cards in, and 24 ways if you are counting how many different orders \r\n" );
document.write( "that you could draw them in.\r\n" );
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document.write( "That's because:\r\n" );
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document.write( "There are ONLY TWO red aces, the ace of hearts \r\n" );
document.write( "and the ace of diamonds.\r\n" );
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document.write( "Also, there are ONLY TWO black jacks, the jack of spades \r\n" );
document.write( "and the jack of clubs.\r\n" );
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document.write( "So there is only 1 way to draw those 4 cards and that\r\n" );
document.write( "1 way is simply to draw them!\r\n" );
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document.write( "Now if you are drawing them one by one, and you are counting\r\n" );
document.write( "how many different orders in which you can draw them, then\r\n" );
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document.write( "1.  There are 4 ways to draw the 1st of those 4 cards.\r\n" );
document.write( "2.  For each of those 4 ways you could draw one of those 4 cards,\r\n" );
document.write( "    you can draw any of the remaining 3 cards 3 ways.\r\n" );
document.write( "    That's 4×3 or 12 ways to draw the first two of those cards.\r\n" );
document.write( "3.  For each of those 4×3 or 12 ways you could have drawn the first two\r\n" );
document.write( "    of those cards, you can draw any of the remaining 2 cards  ways.\r\n" );
document.write( "    That's 4×3×2 or 24 ways to draw the first three of those cards.\r\n" );
document.write( "4.  There is only 1 way to draw that remaing card. \r\n" );
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document.write( "So the number of different orders in which you could have drawn those \r\n" );
document.write( "four cards is 4×3×2×1 = 4! = 24 ways.\r\n" );
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document.write( "So there is just 1 way to draw the four cards, and that one way is to\r\n" );
document.write( "draw them!\r\n" );
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document.write( "If you are drawing them in a certain order, then there are 24 different\r\n" );
document.write( "orders in which you could draw them.\r\n" );
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document.write( "But the answer is certainly not 48.  It's either 1 or 24.\r\n" );
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document.write( "Edwin

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