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For the set F = {a, b, c}, how many subsets have exactly 2 elements?
For the set F = {a, b, c}, how many subsets have exactly 2 elements?
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Q1
For the set F = {a, b, c}, how many subsets have exactly 2 elements?
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The subsets with exactly 2 elements are {a, b}, {a, c}, and {b, c}. Total = 3.
Questions & Step-by-step Solutions
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Q
Q: For the set F = {a, b, c}, how many subsets have exactly 2 elements?
Solution:
The subsets with exactly 2 elements are {a, b}, {a, c}, and {b, c}. Total = 3.
Steps: 7
Show Steps
Step 1: Identify the set F, which contains the elements {a, b, c}.
Step 2: Understand that a subset is a combination of elements from the set.
Step 3: We need to find subsets that contain exactly 2 elements.
Step 4: List all possible combinations of 2 elements from the set F.
Step 5: The combinations are: {a, b}, {a, c}, and {b, c}.
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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