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  • Question
  • There are 41 students in a class, number of girls is one more than number of guys. we need to form a team of four students. all four in the team cannot be from same gender. number of girls and guys in the team should NOT be equal. How many ways can such a team be made ?


  • Options
  • A. 49450
  • B. 50540
  • C. 46587
  • D. 52487

  • Correct Answer
  • 50540 

    Explanation

    Given G + B= 41 and B = G-1
    Hence, G = 21 and B = 20
    Now we have 2 options,
    1G and 3M
    (or)
    3G and 1M
    (2G and 2M or 0G and 4M or 4G and oM are not allowed),

     

    Total : C 1 21 × C 3 20 + C 3 21 × C 1 20 = 50540 ways.

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

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