Three numbers are chosen at random from the set \( \{0,1,2, \ldots,...
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Three numbers are chosen at random from the set \( \{0,1,2, \ldots, 29\} \) without replacement. The probability that sum of the numbers is 30 is
(a) \( \frac{5}{812} \)
(b) \( \frac{15}{812} \)
(c) \( \frac{5}{406} \)
(d) \( \frac{3}{406} \)
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