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What is the number of subsets of the set H = {1, 2, 3, 4, 5}?

Practice Questions

Q1
What is the number of subsets of the set H = {1, 2, 3, 4, 5}?
  1. 32
  2. 64
  3. 16
  4. 20

Questions & Step-by-Step Solutions

What is the number of subsets of the set H = {1, 2, 3, 4, 5}?
  • Step 1: Identify the set H. In this case, H = {1, 2, 3, 4, 5}.
  • Step 2: Count the number of elements in the set H. There are 5 elements: 1, 2, 3, 4, and 5.
  • Step 3: Use the formula for the number of subsets. The formula is 2^n, where n is the number of elements in the set.
  • Step 4: Substitute the value of n into the formula. Here, n = 5, so we calculate 2^5.
  • Step 5: Calculate 2^5. This equals 32.
  • Step 6: Conclude that the number of subsets of the set H is 32.
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