Question

In a group of students, 100 students know hindi, 50 know english and 25 know both.Each of the students knows eihter hindi or english.How many students are there in the group?

Answer 1

let ,n(A)=100 {THE SET OF THE STUDENTS KNOWING HINDI}
and,n(B)=50{the SET OF THE STUDENTS KNOWING english}
n(A intersection B)=25

then,
n(A union B)=n(A)+n(B)-n(A intersection B)
=>n(A union B)=100+50-25
=>n(A union B)=125

the answer=125

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