If `A B=A ,B A=B` then `(A+B)^n=` (where `n in N)` `(A^2+B^2)` (2) `(A+B)` `A+B` (4) `2^(n-1)(A+B)` `2^n(A+B)`

If n(A) = 6 and n(B) = 8 and n(A nn B) = 4 , then find n(A Delta B) . The following are the step involved in solving the above problem . Arrange them in sequnential order. (a) n (A uu B) = n(A) + n(B) - n(A nn B) (b) n(A uu B) = 10 (c ) n(A uu B) =6+8-4 (d) n(A Delta B) = 10-4= 6 (e) n(A Delta B) = n(A uu B) - n(A nn B) .

If the total number of relations form set A to set B is 1024, and n(A)gt1, n(B)gt1, then (A) n(A)=2, n(B)=5 (B) n(A)=5, n(B)=2 (C) n(A)=10, n(B)=1 (D) n(A)=1, n(B)=10

If A = 2n +13, B = n +7 , where n is a natural number then HCF of A and B is

= (b + a) n ^ (2) + (2ab + b ^ (2) + a ^ (2)) n + a ^ (2) b + ab ^ (2)

If tan(A+B)=ntan(A_B) then prove that (n+1)/(n-1)=(sin2A)/(sin2B)

Let n(A-B)=25+x,n(B-A)=2x and n(A nn B)=2x, If n(A)=2(n(B)) then x=

i) If tan (A+B) = n tan (A-B), prove that: (n+1)/(n-1) = (sin2A)/(sin2B)

Let A={1,2,..., n} and B={a , b }. Then number of surjections from A into B is nP2 (b) 2^n-2 (c) 2^n-1 (d) nC2

A and B are finite sets. 3n(A)=4n(B)=2n (AuuB) and n(AnnB)=12 then n(AuuB)=