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Four numbers are chosen at random (without replacement) from the set {1, 2, 3, ....., 20}. Statement-1: The probability that the chosen numbers when arranged in some order will form an AP Is `1/(85)` . Statement-2: If the four chosen numbers form an AP, then the set of all possible values of common difference is {1, 2, 3, 4, 5}. (1) Statement-1 is true, Statement-2 is true; Statement-2 is not the correct explanation for Statement-1 (2) Statement-1 is true, Statement-2 is false (3) Statement-1 is false, Statement-2 is true (4) Statement-1 is true, Statement-2 is true; Statement-2 is the correct explanation for Statement-1

A

Statement -1 is true , Statement -2 is true, Statement-2 is a correct explanation for Statement -1.

B

Statement -1 is true, Statement -2 is false

C

Statement -1 is false , Statement -2 is true

D

Statement-1 is true, Statement-2 is true, Statement-2 is not a correct explanation for Staement-1.

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The correct Answer is:
B
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From set S = {1, 2, 3, 4, 5, 6 ....... , 20} four numbers are chosen without replacement. Statement-1 : The probability that the chosen numbers when arranged in some order will form an AP is 1/85 Statement-2 : If the four chosen numbers form an AP then the set of all possible values of common difference is {1,2,3,4,5} .

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