Find the number of subsets of the given set.
{12, 11, 7}

The number of subsets of a given set is determined by the formula:

\[
\text{Number of subsets} = 2^n
\]

where \(n\) is the number of elements in the set.

For the set \(\{12, 11, 7\}\), there are 3 elements. Using the formula:

\[
2^3 = 8
\]

Thus, the set \(\{12, 11, 7\}\) has 8 subsets.

These subsets are:

1. \(\emptyset\) (the empty set)
2. \(\{12\}\)
3. \(\{11\}\)
4. \(\{7\}\)
5. \(\{12, 11\}\)
6. \(\{12, 7\}\)
7. \(\{11, 7\}\)
8. \(\{12, 11, 7\}\)

Would you like more details or have any other questions?

Here are 5 related questions to further your understanding:
1. How many subsets does a set with 5 elements have?
2. What is the number of non-empty subsets of a set with 4 elements?
3. Can you find the number of subsets of the set \(\{1, 2, 3, 4, 5\}\)?
4. How many subsets does the empty set have?
5. How does the concept of a power set relate to the number of subsets?

**Tip:** The total number of subsets always includes the empty set and the set itself.

Find the number of subsets of the given set {12, 11, 7}.

Discover how to find the number of subsets of the set {12, 11, 7}. Learn the formula 2^n and explore the concept of the power set with a detailed solution. This problem is perfect for students in Grades 6-8 and provides an essential foundation in set theory.

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