If E = {a, b}, what is the size of the power set of E?
Practice Questions
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If E = {a, b}, what is the size of the power set of E?
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Questions & Step-by-Step Solutions
If E = {a, b}, what is the size of the power set of E?
Step 1: Identify the set E. In this case, E = {a, b}.
Step 2: Count the number of elements in the set E. Here, there are 2 elements: a and b.
Step 3: Use the formula for the size of the power set, which is 2^n, where n is the number of elements in the set.
Step 4: Substitute the value of n into the formula. Since n = 2, we calculate 2^2.
Step 5: Calculate 2^2, which equals 4.
Step 6: Conclude that the size of the power set of E is 4.
Power Set – The power set of a set is the set of all possible subsets, including the empty set and the set itself.
Exponential Growth of Subsets – The number of subsets of a set grows exponentially with the number of elements, specifically 2^n for a set with n elements.
