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AP EAMCET201823 Apr 2018Morning ShiftMathematicsPermutation and CombinationActual

Let S= 0,1,2,3, , 100 . The number of ways of selecting x, y S such that x y and x+y=100 is

Options

  1. A51
  2. B40
  3. C50
  4. D100

Correct answer

C. 50

Step-by-step solution

Let S= 0,1,2,3, , 100 x, y s . and x+y=100 If x=0 , y=100x=1 , y=99x=49 y=51 In this way, the total pairs in 50 . So, the number of required ways =50

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