Concept: If A,B and C are subsets of a set X . Then I. A∪(B∩C)=(A∪B)∩(A∪C) II. A∪A=A,A∩(A∪B)=A,A∪(A∩B)=A and A∩A=A III. (A∩B)∪C=(A∩C)∪(B∩C) IV. (A∪B)∩C=(A∩C)∪(B∩C) Calculation: ⇒A∪(A∩B)=(A∪A)∩(A∪B)=A∩(A∪B)=A−( Using property I and II) So, option 1 is not correct. ⇒A∩(A∪B)=(A∩A)∪(A∩B)=A∪(A∩B)=A−(U sing property I and II) So, option 2 is correct. ⇒(A∩B)∪C=(A∪C)∩(B∪C)−( Using property III) So, option 3 is correct. ⇒(A∪B)∩C=(A∩C)∪(B∩C)−( Using property IV) So, option 4 is correct.