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 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 A = [[1,2,-3],[5,0,2],[1,-1,1]], B = [[3,-1,2],[4,2,5],[2,0,3]] and C = [[4,1,2],[0,3,2],[1,-2,3]] , then compute (A+B) and (B-C) . Also, verify that A + (B-C) = (A + B) - C .

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

If A = {1, 2, 3,4}, B= {2, 4,6, 8} and C= { 3, 4, 5,6}, verify that : A nn (B nn C)= (A nn B) nn C .

If A = {1, 2, 3}, B= { 4, 5, 6} and C= { 7, 8, 9}, verify that : A uu (B nn C)= (A uu B) nn (A uu C) .

If A={1,2,4, 5}, B= {2, 3, 5, 6} and C = (4, 5, 6, 7}, then verify that : A nn (B-C)= (A nn B)- (A nn 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 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 uu C)= (A nn B) uu (A nn C) .