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What is the number of subsets of the empty set?

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

Practice Questions

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

What is the number of subsets of the empty set?
  • Step 1: Understand what a set is. A set is a collection of items.
  • Step 2: Know what the empty set is. The empty set is a set that has no items in it, represented as ∅.
  • Step 3: Learn about subsets. A subset is a set that contains some or all items from another set.
  • Step 4: Consider the empty set. The only subset of the empty set is the empty set itself (∅).
  • Step 5: Conclude that the empty set has exactly one subset, which is ∅.
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