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SETS — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSSETS1 Mark
MCQ
If S and T are two sets such that S has 21 elements, T has 32 elements and S ∩ T has 11 elements, then
find the number of elements in S ∪ T.
  • A
    47
  • ✓
    42
  • C
    37
  • D
    52
✓

Answer

Correct option: B.
42
Given n(S) = 21, n(T) = 32, n(S ∩ T) = 11
Now n(S) + n(T) = n(S ∩ T) + n(S ∪ T)
⇒ n(S ∪ T) = 21 + 32 - 11 = 42.

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