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If D = {a, b}, how many subsets does D have?
If D = {a, b}, how many subsets does D have?
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Q1
If D = {a, b}, how many subsets does D have?
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The number of subsets of a set with n elements is 2^n. Here, n = 2, so 2^2 = 4.
Questions & Step-by-step Solutions
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Q: If D = {a, b}, how many subsets does D have?
Solution:
The number of subsets of a set with n elements is 2^n. Here, n = 2, so 2^2 = 4.
Steps: 6
Show Steps
Step 1: Identify the set D. In this case, D = {a, b}.
Step 2: Count the number of elements in the set D. 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 the set D is 4.
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