1.Which of the following is/are true, for all non-empty sets A and B?

(i) A B = B A

(ii) |A A| = |B B|

(iii) (A B) A = (A B) B

A. (i) and (ii)

B. (ii) and (iii)

C. (iii) only

D. None of the above

2. Which of the following statements is/are true?

(i) Equivalence classes are functions.

(ii) All bijective functions are onto functions.

(iii) All symmetric relations are functions.

A. (i) only

B. (ii) only

C. (ii) and (iii)

D. (i), (ii) and (iii)

3. In a soccer team, how many ways are there to choose eleven starting players from a squad of 22 players if the three All-Star players must be chosen?

A. 165

B. 1540

C. 75582

D. 705432

4. In the poset ({3, 4, 9, 12, 18, 24, 28, 30}, |), how many minimal elements are there?

A. 1

B. 2

C. 3

D. 4