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

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(#M40041237) OTHER Numerical Ability question sets Keep an EYE

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

Asked In Other Raju (9 years ago)

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Rubayet Ahmed Tusher  (9 years ago)

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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