Final answer:
Without the actual Venn diagram or additional information, none of the provided statements about the number of elements in set A, the number of elements in set B, the total number of elements, or the number of common elements between sets A and B can be confirmed as true.
Step-by-step explanation:
To identify elements in a Venn diagram and determine which statement about sets A and B is true, we must understand how a Venn diagram works. A Venn diagram visually represents different sets and their relationships with circles or ovals within a box that represents the universal set or sample space. When two sets overlap in a Venn diagram, the overlapping area represents the elements common to both sets, named the intersection. The area that contains elements from either set, including the intersection, is called the union of the sets.
Unfortunately, the Venn diagram itself is not provided in the question, but based on provided example solution 3.1, set A = {2, 4, 6, 8, 10, 12, 14, 16, 18} has 9 elements and set B = {14, 15, 16, 17, 18, 19} has 6 elements, with {14, 16, 18} being the common elements in both sets A and B, indicating there are 3 common elements. None of the given statements a), b), or d) are consistent with this information. For statement c), since there are 3 common elements and each set has elements unique to itself (6 in set A excluding the intersection and 3 in set B excluding the intersection), there would be a total of 9 (unique in A) + 3 (unique in B) + 3 (intersection) = 15 elements illustrated by the Venn diagram, not 120 as statement c) suggests. Without the actual Venn diagram or additional information, none of the provided statements a), b), c), or d) can be confirmed as true.
To draw a Venn diagram for this situation, you would draw two overlapping circles, one for each set, with the intersection representing elements they have in common. The respective unique elements of each set would be placed in their respective portions of the circles not included in the intersection.