JEE Exam  >  JEE Questions  >  Four numbers are chosen at random (without re... Start Learning for Free
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?
Verified Answer
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.
View all questions of this test
Explore Courses for JEE exam
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?
Question Description
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?.
Solutions 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? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of 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? defined & explained in the simplest way possible. Besides giving the explanation of 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?, a detailed solution 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? has been provided alongside types of 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? theory, EduRev gives you an ample number of questions to practice 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? tests, examples and also practice JEE tests.
Explore Courses for JEE exam

Top Courses for JEE

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev