Exams › JEE Advanced › Maths
Let A = {a, b, c, d, e}. Find the total number of proper subsets of A.
- 16
- 31
- 32
- 63
Correct answer: 31
Solution
A set with n elements has 2ⁿ subsets in total (including the empty set and the set itself). A proper subset is any subset that is not equal to the set itself. For A = {a, b, c, d, e} with |A| = 5: total subsets = 2⁵ = 32. Proper subsets = 32 - 1 = 31.
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