SOLUTION: Find the number of possible arrangement of the letters in the word PERSONAL if E should precede O.

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Question 1173547: Find the number of possible arrangement of the letters in the word PERSONAL if E should precede O.
Answer by ikleyn(52777) About Me  (Show Source):
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There are 8 letters in the word, and they all are different.


There are 8! = 8*7*6*5*4*3*2*1 = 40320 all possible permutations of 8 letters.


Reversing letters E and O in each permutation, you see that E precedes O in half of all permutations.


THEREFORE, the answer to the problem's question is  40320%2F2 = 20160.

Solved.