If X and Y are two sets such that X has ...

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?

Verified by Experts

The correct Answer is:

30

SETS
NCERT TAMIL|Exercise MISCELLANEOUS EXERCISE ON CHAPTER 1|26 Videos
SETS
NCERT TAMIL|Exercise EXERCISE 1.5|32 Videos
SEQUENCES AND SERIES
NCERT TAMIL|Exercise Miscellaneous Exercise On Chapter 9|32 Videos
SETS, RELATIONS AND FUNCTIONS
NCERT TAMIL|Exercise EXERCISE 1.5|25 Videos

Similar Questions

Explore conceptually related problems

If X and Y are two sets such that X has 40 elements, X cup Y has 60 elements and X cap Y has 10 elements, how many elements does Y have?

If X and Y are two sets such that X ∪ Y has 50 elements, X has 28 elements and Y has 32 elements, how many elements does X ∩ Y have ?

If X and Y are two sets such that X ∪ Y has 18 elements, X has 8 elements and Y has 15 elements , how many elements does X ∩ Y have?

If X and Y are two sets such that X cup Y has 18 elements, X has 8 elements and Y has 15 elements, how many elements does X cap Y have?

If S and T are two sets such that S has 21 elements, T has 32 elements, and S ∩ T has 11 elements, how many elements does S ∪ T have?

If S and T are two sets such that S has 21 elements, T has 32 elements, and S cap T has 11 elements, how many elements does S cup T have?

If the set A has m elements the set B has n elements and the number of elements in AxxB is

If X and Y are two sets such that n(X)=15, n(Y)=20 and n(X cup Y)=30, find n(X cap Y).

If X and Y are two sets such that n ( X ) = 17, n ( Y ) = 23 and n ( X ∪ Y ) = 38 , find n ( X ∩ Y ) .

Which element has smallest size?