Four numbers are chosen at random (without replacement) from the se...

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Four numbers are chosen at random (without replacement) from the set \( \{1,2,3, \ldots ., 20\} \).
\( \mathrm{P} \)
Statement-1 : The probability that the chosen numbers when arranged in some order will form an AP,
W is \( \frac{1}{85} \).
Statement-2 : If the four chosen numbers from an \( \mathrm{AP} \), then the set of all possible values of common difference is \( \{\pm 1, \pm 2, \pm 3, \pm 4, \pm 5\} \).
(1) Statement-1 is true, statement-2 is true and statement- 2 is correct explanation for statement-1.
(2) Statement-1 is true, statement-2 is true and statement-2 is NOT the correct explanation for statement-1.
(3) Statement-1 is true, statement- 2 is false.
(4) Statement-1 is false, statement-2 is true.
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