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Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
Previous Year Question (PYQs)
Let A and B two sets containing four and two elements respectively. The number of subsets of
the A × B, each having at least three elements is
Solution
$|A \times B| = 4 \times 2 = 8$
Total subsets $= 2^8 = 256$
Subsets with fewer than 3 elements: $^8C_0 + ^8C_1 + ^8C_2 = 1 + 8 + 28 = 37$
Subsets with at least 3 elements $= 256 - 37 = 219$
Answer: $\boxed{219}$ ✅
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