please answer all if possible

In 1- 11 mark each statement TRUE or FALSE. Assume that the statement applies to all sets. 1. A(BC)=(AB)C. 2. (AC)(BC)=AB. 3. A(BC)=(AB)(AC). 4. A(BC)=(AB)(AC). 5. (AB)A=A. 6. If AC=BC, then A=B. 7. If AC=BC, then A=B. 8. If AB=AB, then A=B. 9. If AB=A, then B=A. 10. There is a set A such that P(A)=12. 11. AA=A