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SETS — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSSETS1 Mark
MCQ
In a class, 20 opted for Physics, 17 for Maths, 5 for both and 10 for other subjects. The class contains how many students?
  • A
    35
  • ✓
    42
  • C
    52
  • D
    60
✓

Answer

Correct option: B.
42
By set theory
n(P ∪ M) = n(P) + n(M) − n(P ∩ M)
= 20 + 17 − 5 = 32
So total no. of students
= 32 + 10 = 42
32 opted for at least one subject from Physics and maths while 10 opted for other.

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