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If A = {1, 2, 3}, how many subsets does A have?
If A = {1, 2, 3}, how many subsets does A have?
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Practice Questions
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Q1
If A = {1, 2, 3}, how many subsets does A have?
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8
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The number of subsets of a set with n elements is 2^n. Here, n = 3, so 2^3 = 8.
Questions & Step-by-step Solutions
1 item
Q
Q: If A = {1, 2, 3}, how many subsets does A have?
Solution:
The number of subsets of a set with n elements is 2^n. Here, n = 3, so 2^3 = 8.
Steps: 6
Show Steps
Step 1: Identify the set A. In this case, A = {1, 2, 3}.
Step 2: Count the number of elements in set A. Here, there are 3 elements: 1, 2, and 3.
Step 3: Use the formula for the number of subsets. The formula 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 = 3, we calculate 2^3.
Step 5: Calculate 2^3. This equals 2 * 2 * 2, which is 8.
Step 6: Conclude that the number of subsets of set A is 8.
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