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}.
-
Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
-
Statement-1 is true, Statement-2 is true; statement-2 is not a correct explanation for Statement-1.
-
Statement-1 is true, Statement-2 is false.
-
Statement-1 is false, Statement-2 is true.
C.
Statement-1 is true, Statement-2 is false.
d = 1, x = 17
d = 2, x = 14
d = 3, x = 11
d = 4, x = 8
d = 5, x = 5
d = 6, x = 2
Clearly statement is wrong
Hence (3) is the correct answer
