The number of **proper subsets** of a set with $4$ elements is:
A$4$
B$8$
C$15$
D$16$
Answer & Solution
Correct answer: C. $15$
A proper subset is any subset **except the set itself**. Total subsets $= 2^{4} = 16$. Proper subsets $= 16 - 1 = 15$.
Note: $\phi$ is a *proper* subset (it's not equal to the full set), so it counts.
- **D** counts the set itself as proper — wrong by convention.
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