A function is selected at random from all the \( \mathrm{P} \) func...

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A function is selected at random from all the
\( \mathrm{P} \) function defined over a given set A consisting of

W three distinct elements. The probability that the mapping selected is one to one is
(1) \( \frac{2}{9} \)
(2) \( \frac{1}{9} \)
(3) \( \frac{3 !}{3^{3}} \)
(4) \( \frac{{ }^{3} \mathrm{P}_{3}}{27} \)
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