Question

In a group of 100 peoples 40 people like cinema 10 like both drama and cinema how many like cinema? How many like drama only not cinema?

Answer 1

Answer:

Step-by-step explanation:

let  A be set of persons like drama and B is set of persons like cinema so

n(A)=40 , n($A\cup B$)= 100  and $n(A \cap B)=10$

and we know that

$n(A \cup B)= n(A)+n(B)-n(A \cap B)$

put the values you get

100=40+n(B)-10

n(B)=70

we have formula

$n(B\cap A^{c})= n(B)-n(A\cap B)$

so answer wil be

x= 70-10

x= 60  

here $n(B\cap A^{c})$ is number of persons like dram but nor cinema