document.write( "Question 1173547: Find the number of possible arrangement of the letters in the word PERSONAL if E should precede O. \n" ); document.write( "

Algebra.Com's Answer #798769 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "There are 8 letters in the word, and they all are different.\r\n" );
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document.write( "There are 8! = 8*7*6*5*4*3*2*1 = 40320 all possible permutations of 8 letters.\r\n" );
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document.write( "Reversing letters E and O in each permutation, you see that E precedes O in half of all permutations.\r\n" );
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document.write( "THEREFORE, the answer to the problem's question is   = 20160.\r\n" );
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