document.write( "Question 1147180: Find how many arrangements there are of the letters of the word GUMTREE if the G is somewhere to the left of the U and the M is somewhere to the right of the U.
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Algebra.Com's Answer #768506 by Edwin McCravy(20055)\"\" \"About 
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document.write( "There are 7 letters in GUMTREE, and the 2 E's are indistinguishable, so\r\n" );
document.write( "there are 7!/2! = 2520 distinguishable arrangements total.  Exactly half of \r\n" );
document.write( "them, or 1260, have G somewhere left of U, (and the other half have G right of U).\r\n" );
document.write( "In turn, by the same token, exactly half of those 1260, or 630, have M right \r\n" );
document.write( "of U.\r\n" );
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document.write( "Answer: 630 \r\n" );
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document.write( "Edwin
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