Verify that C(8,4) + C(8,3) = C(9,4)

Verify that 2 C (7,4)= C(8,4) .

Let A= {1, 2}, B = {1, 2, 3, 4}, C = {5, 6} andD = {5, 6, 7, 8}. Verify that A xx (B nn C) = (A xx B) nn (A xx C) .

Verify that : "^8C_4+ ^8C_3= ^9C_4 .

Verify that a div (b+c) != (a divb) +(adivc) for each of the following values of a,b and c. a = 12,b = -4, c = 2

If U = (1,2, 3,............., 10} , A = {1, 2, 3, 4, 5}, B = {1, 3, 5, 7, 9}, C = {2, 4, 8, 10}, verify that : (A uu B)^(c) =A^(c) nn B^(c) .

If U = (1,2, 3,............., 10} , A = {1, 2, 3, 4, 5}, B = {1, 3, 5, 7, 9}, C = {2, 4, 8, 10}, verify that : (A nn B)^(c) =A^(c) uu B^(c) .

Let A = {1, 2, 3}, B = {2, 3, 4} and C = {4, 5}. Verify that : Axx(B nn C)=(AxxB)nn (A xx C) .

If A= {1, 2, 3}, B= {4},C = {5}. then verify that : A xx (Buu C)= (A xxB) uu (A xx C) .

If A= {1, 2, 3}, B= {4},C = {5}. then verify that : A xx (B nn C)= (A xxB) nn (A xx C) .