Home
Class 11
MATHS
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 uuY`has 60 elements and `X nnY`has 10 elements, how many elements does Y have?

Text Solution

Verified by Experts

Here, `n(X)=40,n(X cupY)=60 and n(X capY)=10`
Therefore, `n(X)+n(Y)-n(X cap Y)=n(X cup Y)`
`rArr n(Y)=60+10-40`
`rArr n(Y)=30`
Therefore, number of elements in Y are `n(Y)=30`.
Promotional Banner

Topper's Solved these Questions

  • SETS

    NAGEEN PRAKASHAN|Exercise MISC Exercise|16 Videos

  • SETS

    NAGEEN PRAKASHAN|Exercise Exercise 1.5|7 Videos

  • SEQUENCE AND SERIES

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|32 Videos

  • STATISTICS

    NAGEEN PRAKASHAN|Exercise MISCELLANEOUS EXERCISE|7 Videos

Similar Questions

Explore conceptually related problems

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

If X and Y are two sets such that X has 40 elements , XuuY has 50 elements and X cap Y has 20 elements, how many elements does Y have?

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

If X and Y are two sets such that X cup Y has 50 elements, X has 24 elements and Y has 30 elements, how many elements does X cap Y have?

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

If X and Y are two sets such that (XuuY) has 60 elements, X has 38 elements and Y has 42 elements, how many elements does (XnnY) have?

If X and Y are two sets such that XuuY has 17 elements , X has 7 elements and Y has 15 elements , how many elements does XcapY have ?

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

If X any Y are two sets such that X cup Y has 40 element X has 25 elements and Y has 24 elements how many elements does X cap Y have?