Discussion

Question:

How many subsets of {1, 2, 3 … 11} contain at least one even integer?

Explanation:

Total number of subsets = 2¹¹ 

Total number of subsets without any even integer = 2⁶

Hence, required number of subsets

= 2¹¹ – 2⁶

= 2048 – 64

= 1984

Hence, option (c).

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