Home
Class 11
MATHS
If X and Y are two sets such that n (X)...

If X and Y are two sets such that `n (X)=17, n (Y)= 23` and `n (Xuu Y)= 38` find `n (X nnY)` .

Text Solution

Verified by Experts

`n(X)=17,n(Y)=23,n(X cupY)=38`
Now, `n(X cupY)=n(X)+n(Y)-n(X cap Y)`
`rArr 38 = 17 + 23 - n(X cap Y)`
`rArr n(X cap Y) = 17 +23 - 38 =2`
Therefore, `n(X cap Y)=2`.
Doubtnut Promotions Banner Mobile Dark
|

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 n(X)=17,n(Y)=23 and n(X uu Y)=38 find n(X nn Y).

If A and B are two sets such that n(A) = 17,n(B)=23 and n(A cup B) = 38 , then find n(A cap B) .

Knowledge Check

  • If X and Y are two sets such that n(X)=17,n(Y)=23 and n(X uu Y) =38, then n( X nn Y)

    A
    2
    B
    1
    C
    3
    D
    4
  • If X and Y are two sets such that n(X =25, n(X cup Y)=35 and n (X cap Y)=5 , then find n(Y) .

    A
    16
    B
    29
    C
    11
    D
    None of these
  • If X and Y are two sets such that n (X cup Y) = 18, n (X) = 8 and n(Y) =15 , then find n(X cup Y) .

    A
    5
    B
    10
    C
    7
    D
    3
  • Similar Questions

    Explore conceptually related problems

    If X and Y are two sets such that n(X)" "=" "17 , n(Y)" "=" "23 and n" "(Xuu Y" ")" "=" "3" "8 , find n(X nnY) .

    X and Y are disjoint sets , If n (X) = 40 and n(Y) = 28 , then find n(X-Y) +n(Y-X) .

    If n(X cap Y)=9,n(YcapX')=10 and n(XcupY)=25 , then find n(X xx Y) .

    If A and B are two sets such that n(A) = 17, n(B)= 23 and n (A cup B)=38 , then n(A cap B) will be-

    If X and Y are sets such that n(X cup Y) = 50,n(X)=28 and n(Y)=32 , then find n(X cap Y) .