Four numbers are chosen at random (without replacement) from the set {1, 2, 3, ...20}. [2010]Statement -1: The probability that the chosen numbers when arranged in some order will form an AP isStatement -2 : If the four chosen numbers form an AP, then the set of all possible values of common difference is (andplusmn;1, andplusmn;2, andplusmn;3, andplusmn;4,andplusmn;5) .a)Statement -1 is true, Statement -2 is true ; Statement -2 is not a correct explanation for Statement -1b)Statement -1 is true, Statment -2 is falsec)Statement -1 is false, Statment -2 is true.d)Statement -1 is true, Statement -2 is true ; Statement -2 is a correct explanation for Statement -1.Correct answer is option 'B'. Can you explain this answer?

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Four numbers are chosen at random (without replacement) from the set {1, 2, 3, ...20}. [2010]

Statement -1: The probability that the chosen numbers when arranged in some order will form an AP is

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) .

a)
Statement -1 is true, Statement -2 is true ; Statement -2 is not a correct explanation for Statement -1
b)
Statement -1 is true, Statment -2 is false
c)
Statement -1 is false, Statment -2 is true.
d)
Statement -1 is true, Statement -2 is true ; Statement -2 is a correct explanation for Statement -1.

Correct answer is option 'B'. Can you explain this answer?

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

n(S) = ²⁰C₄ Statement-1:
common difference is 1; total number of cases = 17
common difference is 2; total number of cases = 14
common difference is 3; total number of cases = 11
common difference is 4; total number of cases = 8
common difference is 5; total number of cases = 5
common difference is 6; total number of cases = 2

Prob. =

Statement -2 is false, because common difference can be 6 also.

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Four numbers are chosen at random (without replacement) from the set {1, 2, 3, ...20}. [2010]Statement -1: The probability that the chosen numbers when arranged in some order will form an AP isStatement -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) .a)Statement -1 is true, Statement -2 is true ; Statement -2 is not a correct explanation for Statement -1b)Statement -1 is true, Statment -2 is falsec)Statement -1 is false, Statment -2 is true.d)Statement -1 is true, Statement -2 is true ; Statement -2 is a correct explanation for Statement -1.Correct answer is option 'B'. Can you explain this answer?

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Four numbers are chosen at random (without replacement) from the set {1, 2, 3, ...20}. [2010]Statement -1: The probability that the chosen numbers when arranged in some order will form an AP isStatement -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) .a)Statement -1 is true, Statement -2 is true ; Statement -2 is not a correct explanation for Statement -1b)Statement -1 is true, Statment -2 is falsec)Statement -1 is false, Statment -2 is true.d)Statement -1 is true, Statement -2 is true ; Statement -2 is a correct explanation for Statement -1.Correct answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Four numbers are chosen at random (without replacement) from the set {1, 2, 3, ...20}. [2010]Statement -1: The probability that the chosen numbers when arranged in some order will form an AP isStatement -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) .a)Statement -1 is true, Statement -2 is true ; Statement -2 is not a correct explanation for Statement -1b)Statement -1 is true, Statment -2 is falsec)Statement -1 is false, Statment -2 is true.d)Statement -1 is true, Statement -2 is true ; Statement -2 is a correct explanation for Statement -1.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Four numbers are chosen at random (without replacement) from the set {1, 2, 3, ...20}. [2010]Statement -1: The probability that the chosen numbers when arranged in some order will form an AP isStatement -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) .a)Statement -1 is true, Statement -2 is true ; Statement -2 is not a correct explanation for Statement -1b)Statement -1 is true, Statment -2 is falsec)Statement -1 is false, Statment -2 is true.d)Statement -1 is true, Statement -2 is true ; Statement -2 is a correct explanation for Statement -1.Correct answer is option 'B'. Can you explain this answer?.

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