Question 1 [2] (a) Let A and B be two sets with |AL= 20,|B| = 25 and |AU B| = 35. Find JAN BI. (b) In a group of 100 people, 73 people can speak English and 43 can speak Spanish. i. How many can speak both English and Spanish? ii. How many can speak English only ? iii. How many can speak Spanish only? iv. Draw a Venn Diagram to show this information. [8] (c) Let A and B be two sets. Determine which of the following statements are true and which are false. Prove each statement that is true and give a counter-example for each statement that is false. i. P(An B) = P(A) O P(B) ii. P(AUB) = P(A) U P(B) iii. P(A) UP(B) CP(AUB) [10]