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

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Question: What is the total number of subsets of the set G = {1, 2, 3, 4, 5}?

Options:

  1. 32
  2. 64
  3. 16
  4. 8

Correct Answer: 32

Solution:

The total number of subsets is 2^5 = 32.

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

Practice Questions

Q1
What is the total number of subsets of the set G = {1, 2, 3, 4, 5}?
  1. 32
  2. 64
  3. 16
  4. 8

Questions & Step-by-Step Solutions

What is the total number of subsets of the set G = {1, 2, 3, 4, 5}?
  • Step 1: Identify the set G, which is {1, 2, 3, 4, 5}.
  • Step 2: Count the number of elements in the set G. There are 5 elements.
  • Step 3: Use the formula for the total number of subsets, which is 2 raised to the power of the number of elements in the set.
  • Step 4: Calculate 2^5. This means multiplying 2 by itself 5 times: 2 * 2 * 2 * 2 * 2.
  • Step 5: The result of 2^5 is 32. Therefore, the total number of subsets of the set G is 32.
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