JEE Main & Advanced AIEEE Solved Paper-2004

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

    A) 5      

    B)                        21          

    C)                        \[{{3}^{8}}\]     

    D)        \[^{8}{{C}_{3}}\]

    Correct Answer: B

    Solution :

    The total number of ways of dividing n identical items among r persons, each one of whom receives atleast one item, is \[^{n-1}{{C}_{r-1}}\]. The required number of ways

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