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

  • question_answer
    The number of ways in which first, second and third prizes can be given to 5 competitors is

    A) 10

    B) 60

    C) 15

    D) 125

    Correct Answer: B

    Solution :

    First prize can be given in 5 ways. Then second prize can be given in 4 ways and the third prize in 3 ways. (Since a competitor cannot get two prizes) and hence the no. of ways \[=5\times 4\times 3=60\] ways.


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