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 A.P. is $1 / 85$ .
Statement 2:
If the four chosen numbers form an A.P., then the set of all possible values of common difference is ${\pm 1, \pm 3, \pm 3, \pm 4, \pm 5}$ .

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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 A.P. is

1 / 85

.
Statement 2:
If the four chosen numbers form an A.P., then the set of all possible values of common difference is

{\pm 1, \pm 3, \pm 3, \pm 4, \pm 5}

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Question Text

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 A.P. is

1 / 85

.
Statement 2:
If the four chosen numbers form an A.P., then the set of all possible values of common difference is

{\pm 1, \pm 3, \pm 3, \pm 4, \pm 5}

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