document.write( "Question 1173337: in a music award ceremony, 5 female singers are competing for the gold,silver, and bronze awards under \"the best female singer\".
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Algebra.Com's Answer #798550 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "Then there are 4 candidates for the gold\r\n" );
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document.write( "and 3 remaining candidates for silver.\r\n" );
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document.write( "In all,  4*3 = 12 permutations are possible.    ANSWER\r\n" );
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document.write( "If Kate won gold, then for the rest candidates there are 4*3 = 12 possible permutations.\r\n" );
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document.write( "If Kate won silver, then for the rest candidates there are 4*3 = 12 other possible permutations.\r\n" );
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document.write( "If Kate won bronze, then for the rest candidates there are 4*3 = 12 possible other permutations.\r\n" );
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document.write( "These three sets of permutations with 12 elements in each set, are DISGIUNT, \r\n" );
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document.write( "so the final answer is  12+12+12 = 36 permutations.   \r\n" );
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document.write( "ANSWER.  In all, there are 36 possible permutations.\r\n" );
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