COMEDK · Maths · 20. Sets and Relations
Total number of elements in the power set of \(A\) containing 17 elements is
- A \(2^{17+1}\)
- B \(2^{17-1}\)
- C \(17^2-1\)
- D \(2^{17}\)
Answer & Solution
Correct Answer
(D) \(2^{17}\)
Step-by-step Solution
Detailed explanation
The power set of a set \(A\) is defined as the set of all subsets of \(A\). If a set \(A\) has \(n\) elements, then the number of elements in its power set, denoted by \(P(A)\), is given by \(2^n\). Given that the set \(A\) contains \(n = 17\) elements, the number of elements in…
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