document.write( "Question 1194633: 3. Construct a table listing all possible samples of size 7
\n" ); document.write( "Combination: 87, 92, 93, 93, 94, 94, 95, 96, 97
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\n" ); document.write( "Must be 36 samples
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Algebra.Com's Answer #826874 by greenestamps(13198)\"\" \"About 
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\n" ); document.write( "That's a job that you can do yourself; we aren't going to do all the tedious work for you....

\n" ); document.write( "You are choosing 7 of the 9 elements in the set; the number of combinations is C(9,7) = 36.

\n" ); document.write( "The number C(9,7) is the same as the number C(9,2) -- each group of 7 of the 9 that you choose corresponds to a group of 2 that you do NOT choose.

\n" ); document.write( "Use that idea to make it easier to make your list. Make a list of each group of 2 you can NOT choose and find the corresponding group of 7 for your list. For example....
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document.write( "   not chosen         chosen\r\n" );
document.write( "  (group of 2)     (group of 7)\r\n" );
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document.write( "    87, 92     93, 93, 94, 94, 95, 96, 97\r\n" );
document.write( "    93, 93     87, 92, 94, 94, 95, 96, 97\r\n" );
document.write( "    94, 97     87, 92, 93, 93, 94, 95, 96\r\n" );
document.write( "    ...        ...

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