AP EAMCET · Maths · Permutation Combination
The number of subsets of \(\{1,2,3, \ldots, 9\}\) containing at least one odd number is
- A \(324\)
- B \(396\)
- C \(512\)
- D \(496\)
Answer & Solution
Correct Answer
(D) \(496\)
Step-by-step Solution
Detailed explanation
Total subsets = \(2^9 = 512\) Subsets with no odd numbers (subsets of even numbers \(\{2,4,6,8\}\)) = \(2^4 = 16\) Subsets with at least one odd number = \(2^9 - 2^4 = 512 - 16 = 496\)
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