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NDA2015MathematicsPermutation and CombinationActual

Let A= 1,2,3,4,5,6,7,8,9,10 . Then the number of subsets of A containing exactly two elements is

Options

  1. A20
  2. B40
  3. C45
  4. D90

Correct answer

C. 45

Step-by-step solution

A= 1,2,3,4,5,6,7,8,9,10 Number of subsets of A containing two elements aligned & =9+8+7+6+5+4+3+2+1 & 9(9+1) 2 = 90 2 =45 aligned Option (C) is correct Alternate Method The number of subsets of A containing exactly two elements is: ¹⁰ C ₂= 10 9 2 1 =45

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