document.write( "Question 891547: Ralph knows that there are 15 distinguishable possibilities when 2 people are chosen to form a committee from a particular group of N people.
\n" ); document.write( "A) describe what values if N would be admissible in this problem
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Algebra.Com's Answer #539963 by Edwin McCravy(20055)\"\" \"About 
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Ralph knows that there are 15 distinguishable possibilities when 2 people are chosen to form a committee from a particular group of N people.
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document.write( "\"X%28X-1%29%2F2%21\"\"%22%22=%22%22\"\"15\"\r\n" );
document.write( "\"X%28X-1%29\"\"%22%22=%22%22\"\"2%2A15\"\r\n" );
document.write( "\"X%5E2-X\"\"%22%22=%22%22\"\"30\"\r\n" );
document.write( "\"X%5E2-X-30\"\"%22%22=%22%22\"\"%220%22\"\r\n" );
document.write( "\"%28X-6%29%28X%2B5%29\"\"%22%22=%22%22\"\"%220%22\"\r\n" );
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document.write( "\"X-6=0\",  \"X%2B5=0\"\r\n" );
document.write( "\"X=6\",    \"cross%28X=-5%29\"\r\n" );
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document.write( "So the number to pick 2 from in order to have 15 distinguishable possibilities\r\n" );
document.write( "is 6.\r\n" );
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document.write( "Every time we pick 2 from the 6, we leave 4 behind. So there are also\r\n" );
document.write( "15 ways to choose 4.  C(6,2) = C(6,4) = 15\r\n" );
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document.write( "So the admissible numbers we could pick 15 ways from the 6 are 2 and 4. \r\n" );
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\n" ); document.write( "B) Determine the number of people in the larger group, N
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document.write( "Isn't it just asking for the larger group of 4?  (Am I missing something?)\r\n" );
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document.write( "Edwin

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