TS 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 496
- D 512
Answer & Solution
Correct Answer
(C) 496
Step-by-step Solution
Detailed explanation
The total number of subsets of given set is \(2^9=512\) Case I When selecting only one even number \(\{2,4,6,8\}\) Number of ways \(={ }^4 C_1=4\) Case II When selecting only two even numbers \(={ }^4 C_2=6\) Case III When selecting only three even numbers \(={ }^4 C_3=4\) Case…
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