The single-element set {w} has two
subsets: Ø and {w}. The two-element set
{w, x} has four subsets: Ø, {w}, {x}, and
{w, x}. List all of the subsets of the three-
element set {w, x, y}.

The three-element set \( \{w, x, y\} \) has \( 2^3 = 8 \) subsets. These subsets are:

1. \( \emptyset \) (the empty set)
2. \( \{w\} \)
3. \( \{x\} \)
4. \( \{y\} \)
5. \( \{w, x\} \)
6. \( \{w, y\} \)
7. \( \{x, y\} \)
8. \( \{w, x, y\} \)

These are all the subsets of the set \( \{w, x, y\} \).

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Here are 5 related questions:
1. How many subsets does a set with 4 elements have?
2. What is the formula for the number of subsets of a set with \(n\) elements?
3. What are the subsets of the set \( \{a, b, c, d\} \)?
4. How many subsets does the set \( \{1, 2, 3, 4, 5\} \) have?
5. What is the difference between a proper subset and a subset?

**Tip:** The number of subsets of a set with \(n\) elements is \(2^n\).

The single-element set {w} has two subsets: Ø and {w}. The two-element set {w, x} has four subsets: Ø, {w}, {x}, and {w, x}. List all of the subsets of the three-element set {w, x, y}.

Discover the complete list of subsets for the three-element set {w, x, y}. This set theory problem explores how to calculate subsets using the 2^n formula, resulting in 8 subsets. Suitable for students in Grades 6-8.

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