Question

Q1. If X and Y are two sets such that X has 40 elements, X ∪ Y has 60 elements and
X ∩ Y has 10 elements, how many elements does Y have?

Answer 1

Answer:

hey mate....

30 is the required answer...

Answer 2

Answer:

It's given in the question that ,

No. of elements X have =40 elements

Also, (X U Y)=10 elements

And, X⋂Y=10 elements

We know the fornula:

n(XUY)=n(X)+n(Y)-n(X⋂Y)

Now plugging in the values we get,

n(XUY)=n(X)+n(Y)-n(X⋂Y)

=> 60=40+n(Y)-10

=>60=40-10+n(Y)

=>n(Y)=60-30

=>n(Y)=30

•°• Y has total 30 ELEMENTS!