document.write( "Question 1021025: 2n!
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Algebra.Com's Answer #638266 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
2n! divided by (n-3)! = 84n
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document.write( "\"%282n%21%29%2F%28n-3%29%21\"\"%22%22=%22%22\"\"84n\"\r\n" );
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document.write( "\"2n%21\"\"%22%22=%22%22\"\"84n%28n-3%29%21\"\r\n" );
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document.write( "\"n%21\"\"%22%22=%22%22\"\"42n%28n-3%29%21\"\r\n" );
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document.write( "\"n%28n-1%29%21\"\"%22%22=%22%22\"\"42n%28n-3%29%21\"\r\n" );
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document.write( "\"%28n-1%29%21\"\"%22%22=%22%22\"\"42%28n-3%29%21\"\r\n" );
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document.write( "\"%28n-1%29%21\"\"%22%22=%22%22\"\"7%2A6%28n-3%29%21\"\r\n" );
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document.write( "The left side is a factorial.\r\n" );
document.write( "For the right side to be a factorial beginning\r\n" );
document.write( "with 7*6, it must be 7! or 7*6*5*4*3*2*1.\r\n" );
document.write( "Then (n-3)! must be 5*4*3*2*1 or 5!\r\n" );
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document.write( "Therefore\r\n" );
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document.write( "\"%28n-3%29%21\"\"%22%22=%22%22\"\"5%21\"\r\n" );
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document.write( "\"n-3\"\"%22%22=%22%22\"\"5\"\r\n" );
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document.write( "\"n\"\"%22%22=%22%22\"\"8\"\r\n" );
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document.write( "Checking:\r\n" );
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document.write( "\"%282n%21%29%2F%28n-3%29%21\"\"%22%22=%22%22\"\"84n\"\r\n" );
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document.write( "\"%282%288%21%29%29%2F%288-3%29%21\"\"%22%22=%22%22\"\"84%288%29\"\r\n" );
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document.write( "\"2%2840320%29%2F%285%29%21\"\"%22%22=%22%22\"\"672\"\r\n" );
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document.write( "\"2%2840320%29%2F120\"\"%22%22=%22%22\"\"672\"\r\n" );
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document.write( "\"672\"\"%22%22=%22%22\"\"672\"\r\n" );
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document.write( "So it checks:\r\n" );
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document.write( "Solution: \"n\"\"%22%22=%22%22\"\"8\"\r\n" );
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document.write( "Edwin
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