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

Practice Questions

Q1
What is the number of subsets of the set {1, 2, 3, 4}?
  1. 8
  2. 12
  3. 16
  4. 20

Questions & Step-by-Step Solutions

What is the number of subsets of the set {1, 2, 3, 4}?
  • Step 1: Identify the set. The set we have is {1, 2, 3, 4}.
  • Step 2: Count the number of elements in the set. There are 4 elements: 1, 2, 3, and 4.
  • 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 = 4, so we calculate 2^4.
  • Step 5: Calculate 2^4. This equals 16.
  • Step 6: Conclude that the number of subsets of the set {1, 2, 3, 4} is 16.
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