Home
Class 12
MATHS
If X and Y are two sets, then X nn (Y nn...

If X and Y are two sets, then `X nn (Y nn X)' `equals

A

X

B

Y

C

`phi`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
`Xnn(YnnX)'=Xnn(Y'uuX')`
`=(XnnY')uu(XnnX')`
`=(XnnY')uuphi=XnnY`'
`=X-(XnnY)`
Promotional Banner

Similar Questions

Explore conceptually related problems

If A and B are two sets, then A nn (A uu B)^c equals

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

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 has 40 elements, X ∪ Y has 60 elements and X ∩ Y has 10 elements, how many elements does Y have?

If X and Y are two sets and X' denotes the complement of X, then X cap (X cup Y)' is equal to

Let E^c denote the complement of an event E. Let E,F,G be pairwise independent events with P(G) gt 0 and P(E nn F nn G)=0 Then P(E^c nn F^c | G) equals

If P, Q and R are the subsets of a set A, then prove that Rxx(P^(c )uuQ^(c ))^(c )=(RxxP)nn(RxxQ) .

A and B are two events such that P(A) = 0.54, P(B) = 0.69 and P(A nn B) = 0.35 Find (i) P(A uu B (ii) P(A' nn B') (iii) P(A nn B') (iv) P(B nn A')

If N_(a)={an:ninN} , then N_(5) nn N_(7) equals