Question

in a group of 40 person,27 like tea and 22 like coffee.Each person like at least one of the two drink.how many person like both tea and coffee​

Answer 1

Answer:

9 people like both tea and coffee

Answer 2

Step-by-step explanation:

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=19

Thus, 19 people like both coffee and tea