document.write( "Question 1205093: Classify whether the permutation is odd or even.\r
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Algebra.Com's Answer #841743 by mccravyedwin(407)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "I'll just do the last one.\r\n" );
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document.write( "c. [1 2 3 4 5 6 7 8] \r\n" );
document.write( "   [3 4 1 5 2 7 8 6]\r\n" );
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document.write( "We determine the orbits:\r\n" );
document.write( "1->3->1\r\n" );
document.write( "So the first orbit is [1 3]\r\n" );
document.write( "2->4->5->2\r\n" );
document.write( "So the second orbit is [2 4 5]\r\n" );
document.write( "6->7->8->6\r\n" );
document.write( "So the third orbit is [6 7 8]\r\n" );
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document.write( "So the permutation is [1 3][2 4 5][6 7 8]\r\n" );
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document.write( "Writing it two ways as a product of tranpositions:\r\n" );
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document.write( "[1 3][2 5][2 4][6 8][6 7]\r\n" );
document.write( "or\r\n" );
document.write( "[1 3][2 4][2 5][6 7][6 8]\r\n" );
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document.write( "There are 5 transposition in the product, and 5 is \r\n" );
document.write( "odd, so the permutation is odd.\r\n" );
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document.write( "Edwin
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