In a class, 20 students opted for physics, 17 for Maths, 12 for both p

1.	In a class, 20 students opted for physics, 17 for Maths, 12 for both physics and maths and 10 students for other subjects. The class contains how many students?1. 522. 353. 604. 42
Answer» Correct Answer - Option 2 : 35 Given: The number of student opted Physics, n(A) = 20 The number of student opted Maths, n(B) = 17 The number of student opted both, n(A∩B) = 12 The number of student opted other subject = 10 Formula used: n(A∪B) = n(A) + n(B) – n(A∩B) Calculation: n(A∪B) = n(A) + n(B) – n(A∩B) ⇒ n(A∪B) = 20 + 17 – 12 ⇒ n(A∪B) = 25 Total number of student opted maths and the physics = 25 Number of student in the class = 25 + 10 = 35 ∴ The number of student in the class is 35

In a class, 20 students opted for physics, 17 for Maths, 12 for both physics and maths and 10 students for other subjects. The class contains how many students?1. 522. 353. 604. 42

Answer» Correct Answer - Option 2 : 35

Given:

The number of student opted Physics, n(A) = 20

The number of student opted Maths, n(B) = 17

The number of student opted both, n(A∩B) = 12

The number of student opted other subject = 10

Formula used:

n(A∪B) = n(A) + n(B) – n(A∩B)

Calculation:

n(A∪B) = n(A) + n(B) – n(A∩B)

⇒ n(A∪B) = 20 + 17 – 12

⇒ n(A∪B) = 25

Total number of student opted maths and the physics = 25

Number of student in the class = 25 + 10 = 35

∴ The number of student in the class is 35

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