UPPSC 2024

Q. The number of subsets of A = {0, 1, 2} will be:

(A) 7
(B) 8
(C) 6
(D) 9

Question from UPPSC Prelims CSAT 2024

The correct answer is (B) 8.

Explanation:

The number of subsets of a set is determined by the formula:
Number of subsets = 2^n, where n is the number of elements in the set.
Here, the set A = {0, 1, 2} has n = 3 elements. Substituting n = 3 into the formula:

Number of subsets = 2^3 = 8

The subsets of A are:
1. ∅ (the empty set)
2. {0}
3. {1}
4. {2}
5. {0, 1}
6. {0, 2}
7. {1, 2}
8. {0, 1, 2}

Final Answer: (B) 8

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