JEE Main & Advanced Mathematics Permutations and Combinations Question Bank Definition of permutation, Number of permutations with or without repetition, Conditional permutations

  • question_answer
    There are 3 candidates for a post and one is to be selected by the votes of 7 men. The number of ways in which votes can be given is

    A) \[{{7}^{3}}\]

    B) \[{{3}^{7}}\]

    C) \[^{7}{{C}_{3}}\]

    D) None of these

    Correct Answer: B

    Solution :

    \[{{1}^{st}}\] man can vote in 3 ways. \[{{2}^{nd}}\] man can vote in 3 ways. Similarly all other men can vote in 3 ways individually, hence the total number of ways \[3\times 3\times 3\times \] \[3\times 3\times 3\times 3={{3}^{7}}\] ways.


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