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Question: Answered & Verified by Expert
If $\mathrm{A}=\{\mathrm{a}, \mathrm{b}, \mathrm{c}\}$, then what is thenumber of proper subsets A?
MathematicsSets and RelationsNDANDA 2011 (Phase 2)
Options:
  • A 5
  • B 6
  • C 7
  • D 8
Solution:
1499 Upvotes Verified Answer
The correct answer is: 7
Let $A=\{a, b, c\} \Rightarrow O(A)=3$
Now, number of proper subsets of $\mathrm{A}=2^{O(A)}-1=2^{3}-1=7$

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