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If G = {1, 2, 3}, how many subsets of G have exactly 2 elements?
If G = {1, 2, 3}, how many subsets of G have exactly 2 elements?
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Q1
If G = {1, 2, 3}, how many subsets of G have exactly 2 elements?
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The subsets with exactly 2 elements are {1, 2}, {1, 3}, and {2, 3}. So, there are 3 such subsets.
Questions & Step-by-step Solutions
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Q: If G = {1, 2, 3}, how many subsets of G have exactly 2 elements?
Solution:
The subsets with exactly 2 elements are {1, 2}, {1, 3}, and {2, 3}. So, there are 3 such subsets.
Steps: 7
Show Steps
Step 1: Identify the set G, which is {1, 2, 3}.
Step 2: Understand that a subset is a smaller set that can be formed from G.
Step 3: We need to find subsets that have exactly 2 elements.
Step 4: List all possible combinations of 2 elements from the set G.
Step 5: The combinations are: {1, 2}, {1, 3}, and {2, 3}.
Step 6: Count the number of combinations found in Step 5.
Step 7: The total number of subsets with exactly 2 elements is 3.
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