+2 votes
in JEE by kratos

Four numbers are chosen at random (without replacement) from the set {1,2,3, ..., 20}.

Statement I The probability that the chosen numbers when arranged in some order will form an AP is 1/85.

Statement II If the four chosen numbers form an AP, then the set of all possible values of common difference is {±1, ±2, ±3, ±4, ±5].

(a) Statement I is true, Statement ll is true; Statement II is a correct explanation for Statement I

(b) Statement I is true, Statement II is true; Statement ll is trot a correct explanation for Statement I

(c) Statement I is true, Statement II is false

(d) Statement I is false, Statement II is true

1 Answer

+4 votes
by kratos
 
Best answer

The correct option is (c) Statement I is true, Statement II is false.

Explanation:

Hence, Statement I is true and Statement II is false.

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