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What is the total number of subsets of the empty set?

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Question: What is the total number of subsets of the empty set?

Options:

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Correct Answer: 1

Solution: 

The empty set has exactly one subset, which is itself: ∅.

What is the total number of subsets of the empty set?

Practice Questions

Q1
What is the total number of subsets of the empty set?
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Questions & Step-by-Step Solutions

What is the total number of subsets of the empty set?
Correct Answer: 1
  • Step 1: Understand what a set is. A set is a collection of distinct objects.
  • Step 2: Recognize what the empty set is. The empty set, denoted as ∅, is a set that contains no elements.
  • Step 3: Recall the definition of a subset. A subset is a set that contains some or all elements of another set.
  • Step 4: Consider the empty set. The only subset of the empty set is the empty set itself, which is ∅.
  • Step 5: Conclude that the total number of subsets of the empty set is 1, because it only has one subset, which is ∅.
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