If A = {0,1,2,3}, then which of the following is true?Question 1Answera.The power set of A contains 8 elementsb.The power set of A contains 16 elementsc.The power set of A contains 4 elementsd.The power set of A contains 3 elements
Question
If A = {0,1,2,3}, then which of the following is true?Question 1Answera.The power set of A contains 8 elementsb.The power set of A contains 16 elementsc.The power set of A contains 4 elementsd.The power set of A contains 3 elements
Solution
The correct answer is b. The power set of A contains 16 elements.
Here's why:
The power set of a set is the set of all possible subsets of the set, including the empty set and the set itself. The number of elements in the power set is 2^n, where n is the number of elements in the original set.
In this case, the set A = {0,1,2,3} has 4 elements. Therefore, the power set of A has 2^4 = 16 elements.
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