Question

In a hotel there are 120 students, out of which 70 drink tea, 50 drink coffee and 10 students drink tea and coffee both. find the number of students who do not drink tea or coffee.​

Answer 1

Answer:

no one wants to drink tea or coffee

Answer 2

Answer:

5

Step-by-step explanation:

Let A be the set of students who drink tea, and B be the set of students who drink coffee.

set of students who drink tea = A

students who drink coffee = B

Since,

n (A ∪ B ) = n (A) + n(B) - n (A ∩ B) = 80 + 60 - 20

n ( A ∪ B) = 120

We have,

n(U) = 125, n(A) = 80, n(B) = 60, n (A ∩ B) = 20

The number of students who do not drink tea or coffee = 125  - 120 = 5

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