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.