Question

In a group of 600 students in a school, 150 students were found to be taking tea, 225 and taking coffee and 100 were taking both tea and coffee. How may students were taking neither tea nor coffee.

Answer 1

Let set of students taking coffee = C & set of students taking tea = T 

Also set of students who take either Tea or Coffee = C ∪ T 

n (T) = 150 n(C) = 225 

n(C ∩ T) = 100 ; n(C ∪ T) = ? 

n(C ∪ T) = n(C) + n(T) – n (C ∩ T) 

= 150 + 225 – 100 = 275 

Number of students taking neither Tea nor Coffee 

= n(∪), n (C ∪ T) = 600 – 275 = 325