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COMEDK2015MathematicsSets and Relations

If two sets A and B have 99 elements in common, then the number of elements common to the sets A B and B A is

Options

  1. A2⁹⁹
  2. B99²
  3. C100
  4. D18

Correct answer

B. 99²

Step-by-step solution

Since, n(A B)=99n((A B) (B A)) aligned &=n((A B) (B A)) &=n(A B) n(B A) &=n(A B) n(A B)=99 99=(99)² aligned

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