document.write( "Question 820396: In an examination 10 questions are to be answered choosing at least 4 from each of part A and part B. If there are 6
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document.write( "questions in part A and 7 in part B, in how many ways can 10 questions be answered ? \n" );
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Algebra.Com's Answer #493504 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! In an examination 10 questions are to be answered choosing at least 4 from each of part A and part B. \r \n" ); document.write( "\n" ); document.write( "If there are 6 questions in part A and 7 in part B, in how many ways can 10 questions be answered ? \n" ); document.write( "---------------------- \n" ); document.write( "Combinations from A and from B:: 4/6 ; 5/5 ; 6/4 \n" ); document.write( "---- \n" ); document.write( "# of ways to get the 4/6 pattern: 6C4*7C6 = 15*7 = 105 \n" ); document.write( "---- \n" ); document.write( "# of ways to get the 5/5 pattern: 6C5*7C5 = 6*21 = 126 \n" ); document.write( "---- \n" ); document.write( "# of ways to get the 6/4 pattern: 6C6*7C4 = 1*35 = 35 \n" ); document.write( "---- \n" ); document.write( "Total # of ways: 266 \n" ); document.write( "===================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "------------------ \n" ); document.write( " |