What is the number of subsets of the set {a, b, c, d}?

Practice Questions

Q1
What is the number of subsets of the set {a, b, c, d}?
  1. 4
  2. 8
  3. 16
  4. 2

Questions & Step-by-Step Solutions

What is the number of subsets of the set {a, b, c, d}?
Correct Answer: 16
  • Step 1: Identify the set you are working with. In this case, the set is {a, b, c, d}.
  • Step 2: Count the number of elements in the set. Here, there are 4 elements: a, b, c, and d.
  • Step 3: Use the formula for the number of subsets, which is 2 raised to the power of the number of elements (n).
  • Step 4: Since there are 4 elements, calculate 2^4.
  • Step 5: Perform the calculation: 2^4 = 16.
  • Step 6: Conclude that the number of subsets of the set {a, b, c, d} is 16.
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