Question 1173337
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<U>( 1 )</U>


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Then there are 4 candidates for the gold


and 3 remaining candidates for silver.


In all,  4*3 = 12 permutations are possible.    <U>ANSWER</U>
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<U>( 2 )</U>


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If Kate won gold, then for the rest candidates there are 4*3 = 12 possible permutations.


If Kate won silver, then for the rest candidates there are 4*3 = 12 other possible permutations.


If Kate won bronze, then for the rest candidates there are 4*3 = 12 possible other permutations.


These three sets of permutations with 12 elements in each set, are DISGIUNT, 

so the final answer is  12+12+12 = 36 permutations.   


<U>ANSWER</U>.  In all, there are 36 possible permutations.
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