Twelve balls are distributed among three boxes. \( \mathrm{P} \) Fi...

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Twelve balls are distributed among three boxes.
\( \mathrm{P} \) Find the probability that the first box will contain

W three balls.
(1) \( \frac{{ }^{12} C_{2}}{3^{12}} \)
(2) \( \frac{{ }^{12} C_{3} \times 2^{9}}{3^{12}} \)
(3) \( \frac{12 \times 2^{9}}{3^{12}} \)
(4) None of these
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