Question: If B = {a, b}, how many subsets does B have?
Options:
2
3
4
5
Correct Answer: 4
Solution:
The number of subsets of a set with n elements is 2^n. Here, n=2, so the number of subsets is 2^2 = 4.
If B = {a, b}, how many subsets does B have?
Practice Questions
Q1
If B = {a, b}, how many subsets does B have?
2
3
4
5
Questions & Step-by-Step Solutions
If B = {a, b}, how many subsets does B have?
Step 1: Identify the set B. In this case, B = {a, b}.
Step 2: Count the number of elements in the set B. Here, there are 2 elements: a and b.
Step 3: Use the formula for the number of subsets, 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 number of subsets of set B is 4.
Subsets – A subset is a set formed from the elements of another set, including the empty set and the set itself.
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 in the set, specifically 2^n for a set with n elements.
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