MCQ practice · SSC General Mathematics Board questions · Chapter 2: Sets and Functions
How many proper subsets does P = {2, 4, 6, 8} have?
Think it through first, then pick an option.
- a 4
- b 8
- c 15
- d 16
Answer and explanation
Correct answer: c 15
n = 4; 2⁴ − 1 = 16 − 1 = 15.
Why the other options are wrong
- a 4: This is the number of elements, not of subsets.
- b 8: 2 × 4 = 8 is a slip; the rule is 2ⁿ − 1.
- d 16: This counts all subsets, 2⁴; the set itself is not a proper subset.
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