Question

In a hostel there are 125 students, out of which 80 drink tea, 60 drink coffee and 20
drink tea and coffee both. Find the number of students who do not drink tea or coffee.
In a competitive exam 50 students passed in English. 60 students passed in Mathematics.​

Answer 1

Answer:

Step-by-step explanation:

Given: n(A) = 80, n(B) = 60 and n (A ∩ B) = x = 20

Total number of students = 125

n(A) = number of students who drink tea

n(B) = number of students who drink coffee

n (A ∩ B) = number of students who drink both tea and coffee  

n (A ∪ B) = number of students who drink either tea or coffee

As we know, n (A ∪ B) = n(A) + n(B) - n (A ∩ B)

⇒ n (A ∪ B) = 80 + 60 - 20

⇒ n (A ∪ B) = 140 - 20

⇒ n (A ∪ B) = 120

Then, the number of students who do not drink tea or coffee = 125 – 120

= 5

Answer 2

Answer:

Step-by-step explanation:

The attached ven diagram will definitely clear your concept...

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