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What is the number of subsets of the set F = {x, y, z}?

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Question: What is the number of subsets of the set F = {x, y, z}?

Options:

  1. 3
  2. 6
  3. 7
  4. 8

Correct Answer: 8

Solution: 

The number of subsets of a set with n elements is 2^n. Here, n = 3, so 2^3 = 8.

What is the number of subsets of the set F = {x, y, z}?

Practice Questions

Q1
What is the number of subsets of the set F = {x, y, z}?
  1. 3
  2. 6
  3. 7
  4. 8

Questions & Step-by-Step Solutions

What is the number of subsets of the set F = {x, y, z}?
Correct Answer: 8
  • Step 1: Identify the set F. In this case, F = {x, y, z}.
  • Step 2: Count the number of elements in the set F. There are 3 elements: x, y, and z.
  • 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 = 3, so we calculate 2^3.
  • Step 5: Calculate 2^3. This equals 8.
  • Step 6: Conclude that the number of subsets of the set F = {x, y, z} is 8.
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