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Three are 8 stations between two cities A and B ‘A’ train is to stop at three of these 8 stations. The probability that no two of these stations are consecutive is

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$\frac{7}{15}$

$\frac{5}{14}$

$\frac{7}{10}$

$\frac{5}{7}$

answer is B.

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Detailed Solution

$n (A) = 5! 6 P_{3} : n (s) = 8! ∴ P (A) = \frac{n (A)}{n (s)} = \frac{5}{14}$

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