Question

In a survey
a school 150 students were found
tea
and
to be taking
225 coffee,
100
were taking both tea and coffee,
Find how many
Students
were taking
hor coffee
heither tea.Draw venn diagrams which represents​

Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Let U be the set of all students who took part in the survey.

Let T be the set of students taking tea.

Let C be the set of students taking coffee.

n(U)=600,n(T)=150,n(C)=225,n(T∩C)=100

To find: Number of student taking neither tea nor coffee i.e., we have to find n(T′∩C′).

n(T′∩C′)=n(T∪C)′

=n(U)−n(T∪C)

=n(U)−[n(T)+n(C)−n(T∩C)]

=600−[150+225−100]

=600−275

=325

Hence, 325 students were taking neither tea nor coffee.