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KCET2025MathematicsSets and Relations

A and B are two sets having 3 and 6 elements respectively. Consider the following statements. Statement (I): Minimum number of elements in AUB is 3 Statement (II): Maximum number of elements in AB is 3 Which of the following is correct?

Options

  1. AStatement (I) is true, statement (II) is false
  2. BStatement (1) is false, statement (II) is true
  3. CBoth statements (1) and (II) are true
  4. DBoth statements (I) and (II) are false

Correct answer

B. Statement (1) is false, statement (II) is true

Step-by-step solution

aligned & |A|=3 & |B|=6 & |A B|=|A|+|B|-|A B| & |A B|=|A|+|B|- |A B| & =3+6-3=6 & |A B|=|A|+|B|-|A B| & |A B|=|A|+|B|- |A B| & =3+6-6=3 aligned

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