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

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

  • question_answer
    How many numbers greater than 24000 can be formed by using digits 1, 2, 3, 4, 5 when no digit is repeated  [RPET 1999]

    A) 36

    B) 60

    C) 84

    D) 120

    Correct Answer: C

    Solution :

    The digits are 1, 2, 3, 4, 5. We have to form number greater than 24000. Required number will be = (Total) - (Those beginning with 1) - (Those beginning with 21) - (Those beginning with 23) = \[5\,!\,-\,4\,!\,-3\,!\,-3\,!\,=\,120-24-6-6=84\].


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