2. Questions Bank
  3. JEE Main & Advanced
  4. Mathematics
  5. Permutations and Combinations

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

  • question_answer
    In an election there are 8 candidates, out of which 5 are to be choosen. If a voter may vote for any number of candidates but not greater than the number to be choosen, then in how many ways can a voter vote

    A) 216

    B) 114

    C) 218

    D) None of these

    Correct Answer: C

    Solution :

    Required number of ways \[{{=}^{8}}{{C}_{1}}{{+}^{8}}{{C}_{2}}{{+}^{8}}{{C}_{3}}{{+}^{8}}{{C}_{4}}{{+}^{8}}{{C}_{5}}\]\[=8+28+56+70+56=218\] {Since voter may vote to one, two, three, four or all candidates}.


You need to login to perform this action.
You will be redirected in 3 sec spinner