Question

in market survey of 500 customers it was found that 250 Purchase tea
200 purchase coffee and hundred purchase both tea and coffee how many purchase tea or coffee​

Answer 1

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.