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\( n(\geq 5) \) persons are sitting in a row. Three of these are selected at random, the probability that no two of the selected persons are together is
(a) \( \frac{{ }^{n-3} P_{2}}{{ }^{n} P_{2}} \)
(b) \( \frac{{ }^{n-3} C_{2}}{{ }^{n} C_{2}} \)
(c) \( \frac{(n-3)(n-4)}{n(n-1)} \)
(d) \( \frac{{ }^{n-3} C_{2}}{{ }^{n} P_{2}} \)
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