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. *
10
5
15
120
give real n fast answer it's urgent​

Answer 1

Answer:

REFER the above Attachment

Step-by-step explanation:

Correct Option C

Hence, the number of students should not drink tea or coffee is 5

Answer 2

Answer:

5 Students

Step-by-step explanation:

i. Let U be the set of students in the hostel, T be the set of students who drink tea and C be the set of students who drink coffee. n(U) = 125, n(T) = 80, n(C) = 60, Number of students who drink Tea and Coffee = n(T ∩ C) = 20 ii. n(T ∪ C) = n(T) + n(C) – n(T ∩ C) = 80 + 60 – 20 ∴ n(T ∪ C) = 120 ∴ 120 students drink tea or coffee Also, there are 125 students in the hostel. iii. Number of students who do not drink tea or coffee = n(U) – n(T ∪ C) = 125 – 120 = 5 ∴ 5 students do not drink tea or coffee. Alternate Method: Let U be the set of students in the hostel, T be the set of students who drink tea and C be the set of students who drink coffee. From Venn diagram, Student who drinks tea or coffee = n(T ∪ C) = 60 + 20 + 40 = 120 ∴ The number of students who do not drink tea or coffee = n(U) – n(T ∪ C) = 125 – 120 = 5 ∴ 5 students do not drink tea or coffee.Read more on Sarthaks.com - https://www.sarthaks.com/846020/hostel-there-are-125-students-out-which-drink-tea-drink-coffee-and-drink-tea-and-coffee-both