document.write( "Question 733681: how many different ways can three $500.00 prizes be awarded in a contest with 20 people, if no one can win two prizes \n" ); document.write( "
Algebra.Com's Answer #852784 by ikleyn(53418)\"\" \"About 
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\n" ); document.write( "how many different ways can three $500.00 prizes be awarded in a contest
\n" ); document.write( "with 20 people, if no one can win two prizes
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\n" ); document.write( "\n" ); document.write( "In   C(20,3) = \"%2820%2A19%2A18%29%2F%281%2A2%2A3%29\" = 1140   different ways.\r
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\n" ); document.write( "\n" ); document.write( "Since the three prizes are of the same value,  the order of winners does not matter.\r
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\n" ); document.write( "\n" ); document.write( "Therefore,  we consider  COMBINATIONS  and calculate the number of combinations.\r
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "The answer in the post by @lynnlo is incorrect.\r
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