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Statement-1: The number of ways of distr...

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)`.

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Statement-1 : The number of ways of distributing 10 identical balls in 4 distinct boxes such that no box is empty is ^9C_3 . Statement-2 : The number of ways of choosing any 3 places from 9 different places is ^9C_3 . 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.

The number of ways of distributing 8 identical balls in 3distinct boxes so that none of the boxes is empty is

Knowledge Check

  • The number of ways distributing 8 identical balls in 3 distinct boxes so that none of the boxes is empty is

    A
    `3^(8)`
    B
    21
    C
    5
    D
    `""^(8)C_(3)`

  • The number of ways of distributing 8 identical balls in 3 distinct boxes so that none of the boxes is empty is

    A
    `""^(8)C_(3)`
    B
    21
    C
    `3^8`
    D
    5

  • The number of ways of distributing 5 identical balls in into three boxes so that no box is empty (each box being large enough to accommodate all balls), is

    A
    `3^(5)`
    B
    `5^(3)`
    C
    15
    D
    6

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    The number of ways of putting 5 identical balls in 10 identical boxes, if not more than one can go in a box is

    Find the number of ways of distributing 7 identical balls into three boxes so that no box is empty and each box being large enough to accomodate all balls.

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