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EEJ MAIN Mathematics QUESTION #7494
Question 1
Let A and B be two sets containing four and two elements respectively. Then the number of subsets of the set A × B, each having at least three elements, is:
  • 219✔️
  • 256
  • 275
  • 510
Correct Answer Explanation
Total subsets of \(A \times B\) (8 elements) = 256. Subsets with 0, 1, or 2 elements = \(1 + 8 + 28 = 37\). Answer = \(256 - 37 = 219\).