(i) A  X B = {a, b, c} x (p, q} = {{a, p}, {a, q}, (b, p}, {b, q}, {c, p}, {c, q}}

(ii) B x A = {p, q} x {a, b, c} = {{p, a, }.{p, b}.{p, c}.{q, a}.{q, b}.{q, c}}

(iii} A x A = {a, b, c} x {a, b, c} = {(a, a), (a, b), (a, c), (b,l, a), (b,, b), (b, c), (c a), (c, b), (c, c)}

(iv) B x B = {p.q} x {p.q} = {(p.p), (p.q), (p.q), (p.q)

(v) n(A x B) = n(A) x n(B) = 3 x 2 = 6

(vi) n(B xA) = n(B) x n(A) = 2 x 3 = 6

(vii) n(A xA) = n(A)  x n(A) = 3 x 3 = 9

(viii) n(B x B) = n(B) x n(B) = 2 x 2 = 4

(x² -x, y² -3y+2) = (0, 0)

        x² -x = 0 or x(x-1)=0 or x = 0, 1

and y² -3y+2 = 0 or (y-1) (y-*2) = 0 or y = 1, 2

Hence,  x = 0, x = 1, y = 1, y = 2

(2x, x + y) = (6, 2)

   2x = 6  or x = 3

and       x + y = 2 or  3+y = 2 or y = -1

Hence, x = 3, y = -1

           A = {1, 2, 3}



The only even priome number is 2 and it  does not lie between 10 a nd 27.

∴                           

A = {1, 2}, B = {3, 4}

C = {x : xis even and x divides 15}

Since no even number divides 15

∴