Let A and B be two sets such that n(A)=5...

Let A and B be two sets such that `n(A)=5,n(B)=3" and "n(AnnB)=2.`
(i) `n(AuuB)" "(ii) n(AxxB)" "(iii) n{(AxxB)nn(BxxA)}`
Hint (i) `n(AuuB)=n(A)+n(B)-n(AnnB).`
(ii) `n(AxxB)=n(A).n(B)`
(iii) If `n(AnnB)=m" then "n{(AxxB)nn(BxxA)}=2^(m).`

Verified by Experts

`(i)" "6" "(ii)" "15" "(iii)" "a=5,b=-1`

Similar Questions

Explore conceptually related problems

Let A and B be two sets such tat :n(A)=20,n(A uu B)=42 and n(A nn B)=4 Find n(B)

Let A and B be two sets such tat :n(A)=20,n(A uu B)=42 and n(A nn B)=4 Find n(A-B)

Let A and B be two sets such tat :n(A)=20,n(A uu B)=42 and n(A nn B)=4 Find n(B-A)

If A and B are two sets such that n(A uu B)=50,n(A)=28 and n(B)=32 find n(A nn B).

If A and B are two sets such that n(A uu B)=50,n(A)=20 and n(B)=32,f in dn(A nn B)

If A and B be two sets such that n(A)=3,n(B)=4" and "n(AnnB)=2 then find: (i) n(AxxB)" " (ii) n(BxxA)" "(iii) n{(AxxB)nn(BxxA)}

Let A and B be two nonempty sets such that n(A)=5,n(B)=6 and n(AnnB)=3. Find (i) n(AxxB), (ii) n(BxxA)" and "(iii) n{(AxxB)nn(BxxA)}.

If A and B are two sets such that n(A) =20 , n(B) =25 and n(AcapB) =5 , then write n(AuuB) .

If A and B are two sets such that n(A)=20,n(B)=24 and n(A uu B)=40 then write n(A nn B)

If A and B are two sets such that n(A)=30, n(B)=26 and n(A cup B)=50, then find (i) n(A-B) (ii) n(A cap B)