Question:
Two finite sets have m and n elements. The number of subsets of the first set is 112 more than that of the second. The values of m and n respectively are:
Two finite sets have m and n elements. The number of subsets of the first set is 112 more than that of the second. The values of m and n respectively are:
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Always test options using powers of 2 in subset problems.
Updated On: Mar 19, 2026
- \(4,7\)
- \(7,4\)
- \(4,4\)
- 7,7
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The Correct Option is B
Solution and Explanation
Number of subsets of a set with k elements is 2ᵏ.
2ᵐ - 2ⁿ = 112
Trying values:
2⁷ - 2⁴ = 128 - 16 = 112
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