JEE Main & Advanced Mathematics Permutations and Combinations Question Bank Definition of combinations, Conditional combinations, Division into groups, Derangements

  • question_answer
    The total number of ways of selecting six coins out of 20 one rupee coins, 10 fifty paise coins and 7 twenty five paise coins is

    A) 28

    B) 56

    C) \[^{37}{{C}_{6}}\]

    D) None of these

    Correct Answer: A

    Solution :

    Since the total number of selections of \[r\] things from \[n\] things where each thing can be repeated as many times as one can, is\[^{n+r-1}{{C}_{r}}\]. Therefore the required number\[{{=}^{3+6-1}}{{C}_{6}}=28\].


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