If $A=\left\{1,2,3\right\},B=\left\{2,4,5,6\right\}$ and $S=\left\{1,2,3,4,5,6\right\}$, then $A$ and $B$ is called as __________

Q. If $A=\{1,2,3\},B=\{2,4,5,6\}$ and $C=\{1,3,5,7\}$, then find the universal set

Q.

If A - B = {1, 3, 7, 8}, B - A = {2, 4, 6} and $A\cap B=\left\{5\right\}$, then the elements of set A and B are ___ and ___ respectively.

Q. A coin is tossed three times. If events A and B are defined as A = Two heads come, B = Last should be head. Then, A and B are
(a) independent
(b) dependent
(c) both
(d) mutually exclusive

Q. If A = $\{1,2,3,4\}$, B = $\{2,4,5,6\}$ and C = $\{1,2,5,7,8,\}$ then $(A\cup C)\cap B$ is equal to:

Q. Given $A=1,2,3,B=3,4,C=4,5,6,$
then show that $A\cup (B\cup C)=\{1,2,3,4,5,6\}$
and $(A\times B)\cap (B\times C)=\{3,4\}$