1,2,3,4

a/ Given two sets X and y their product is the set X X Y = 2z /z = (x, y) where x Exand yEYy let An = 21, 2 --ing for n71 and B= que,vg 1) write down the set A4 xB 11 ) Explain why there is bijection between A4 x B and the set Sof all the subsets of gabes ? In ) write down the subset of Aux A consisting of all those ordered pairs (x,y ) such that xzy For a subset An, Let Dn the subset of AnX An consisting of all & ordered pairs (ay) such that x= what is Ton! ? Find a bijection between Dn and An Let A, B, C be sets and let f: At B and q: B-7cb functions . Suppose * and q injective . Does gof : A > Che