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If F = {a, b, c}, how many subsets contain exactly 2 elements?

Practice Questions

Q1
If F = {a, b, c}, how many subsets contain exactly 2 elements?
  1. 3
  2. 4
  3. 2
  4. 1

Questions & Step-by-Step Solutions

If F = {a, b, c}, how many subsets contain exactly 2 elements?
  • 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 F.
  • 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 containing exactly 2 elements is 3.
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