SOLUTION: The probability that the random arrangement of letters will result in "personnel"

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Question 1206532: The probability that the random arrangement of letters will result in "personnel"


Answer by ikleyn(52803) About Me  (Show Source):
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9 letters; of them "e" repeats twice and "n" repeats twice.


The number of distinguishable permutations (arrangements) is  

    7%21%2F%282%21%2A2%21%29 = %287%2A6%2A5%2A4%2A3%2A2%2A1%29%2F4 = 7*6*5*3*2 = 1260.


The number of favorable arrangements is 1.


The probability is 1%2F1260.

Solved.

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The way on how the problem is worded in the post is a mathematical tragedy.

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