Question

20% of the people like coffee and 30% of the people likes tea and remaining likes both.find the number of people of 600 people likes both​

Answer 1

Answer:

Let C denote the set of people who like coffee, and T denote the set of people who like tea

n(C∪T)=70,n(C)=37,n(T)=52

We know that:

n(C∪T)=n(C)+n(T)−n(C∩T)

∴70=37+52−n(C∩T)

⇒70=89−n(C∩T)

⇒n(C∩T)=89−70