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  • Question
  • To fill 8 vacancies there are 15 candidates of which 5 are from ST. If 3 of the vacancies are reserved for ST candidates while the rest are open to all, Find the number of ways in which the selection can be done ?


  • Options
  • A. 7920
  • B. 74841
  • C. 14874
  • D. 10213

  • Correct Answer
  • 7920 

    Explanation

    ST candidates vacancies can be filled by C 3 5  ways = 10 

    Remaining vacancies are 5 that are to be filled by 12 

    => C 5 12 = (12x11x10x9x8)/(5x4x3x2x1) = 792 

    Total number of filling the vacancies = 10 x 792 = 7920

  • Tags: GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk

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