How many subsets of {1,2,3.....11} contain at least one even integer? A) 1900 B)1964 C)1984 D) 2048

• The Answer is 1984.
  The total subsets we can form using this 11 numbers is (2^11)=2048.
  And, The total subsets we can form using only the Six odd numbers 1,3,5,7,9,11 is = (2^6) = 64
  So, the number of subsets which will contain at least one Even integer is = 2048-64 = 1984.
  Therefore, 1984 is the required answer.
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