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If F = {1, 2, 3}, what is the number of elements in the power set of F?

Practice Questions

Q1
If F = {1, 2, 3}, what is the number of elements in the power set of F?
  1. 3
  2. 4
  3. 6
  4. 8

Questions & Step-by-Step Solutions

If F = {1, 2, 3}, what is the number of elements in the power set of F?
  • Step 1: Identify the set F. In this case, F = {1, 2, 3}.
  • Step 2: Count the number of elements in the set F. There are 3 elements: 1, 2, and 3.
  • Step 3: Use the formula for the power set. The power set of a set with n elements has 2^n elements.
  • Step 4: Substitute the number of elements (n = 3) into the formula. So, we calculate 2^3.
  • Step 5: Calculate 2^3, which equals 8.
  • Step 6: Conclude that the power set of F has 8 elements.
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