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JEE Main & Advanced Sample Paper JEE Main - Mock Test - 32

  • question_answer
    Four boys picked 30 apples. The number of ways in which they can divide them if all the apples are identical, is -

    A) 5630            

    B)        4260

    C) 5456         

    D)        None

    Correct Answer: C

    Solution :

      [c] The number of ways to divide n identical things among r persons \[{{=}^{n+r-1}}{{C}_{r-1}}\](By multinomial theorem) n=30, r=4 Req. no. of ways \[{{=}^{30+4-1}}{{C}_{4-1}}{{=}^{33}}{{C}_{3}}\] \[=\frac{33\times 32\times 31}{3\times 2}=5456\]            


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