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JEE Main & Advanced AIEEE Solved Paper-2011

  • question_answer
    Statement-1: The number of ways of distributing 10 identical balls in 4 distinct boxes such that no box is empty is \[^{9}{{C}_{3}}\]. Statement-2: The number of ways of choosing any 3 places from 9 different places is \[^{9}{{C}_{3}}\].   AIEEE  Solved  Paper-2011

    A) Statement-1 is false, Statement-2 is true

    B) Statement-1 is true, Statement-2 is true; Statement-2 is the correct explanation for Statement-1

    C) Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1

    D) Statement-1 is true, Statement-2 is false

    Correct Answer: C

    Solution :

                 Number of ways to distribute 10 identical balls in four distinct boxes such that no box remains empty \[{{=}^{10-1}}{{C}_{4-1}}{{=}^{9}}{{C}_{3}}\] Number of ways to select 3 different places from places \[{{=}^{9}}{{C}_{3}}\] Clearly statement-2 is not a correct explanation of statement-1


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