document.write( "Question 1149050: Belmont Records sends a disk jockey 10 new CD releases for possible use. In how many ways can the disk jockey select no more than 8 CDs? \r
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Algebra.Com's Answer #770389 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "My notice to the solution of other tutor:\r
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document.write( "    Formally, \"to select no more than 8 of 10\" includes \"to select 0 (zero) //i.e. NOTHING\", too.\r\n" );
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\n" ); document.write( "\n" ); document.write( "So, including the choice \"to select 0 (zero) // i.e. NOTHING\", the answer is 2013.
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\n" ); document.write( "\n" ); document.write( "            The other solution is possible,  too.\r
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document.write( "(1)  \"The number of ways to select no more than 8 of 10\" is the COMPLEMENT to \"2%5E10\" of \"the number of ways to select 9 or 10 from 10\".\r\n" );
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document.write( "(2)  The number of ways to select 9  or 10  from 10  is  \"C%5B10%5D%5E9\" + \"C%5B10%5D%5E10\" = 10 + 1 = 11.\r\n" );
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document.write( "(3)  Therefore, the ANSWER to the problem's question is  \r\n" );
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document.write( "         The number of ways to select no more than 8 of 10 = \"2%5E10\" - 11 = 1024 - 11 = 1013.\r\n" );
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\n" ); document.write( "\n" ); document.write( "When you know this  COMPLEMENTARY  property,  it may help you to reduce your calculation  SIGNIFICANTLY  in many cases.\r
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