Final answer:
To draw the Venn diagram, start by labeling two circles as A and B. Fill in the numbers 24 and 16 in circles A and B respectively. Then, calculate the number of elements in the overlap region by subtracting the elements in A and B combined from the total number of elements. The resulting number is 15.
Step-by-step explanation:
To draw the Venn diagram, start by drawing two circles that overlap. Label one circle as A and the other as B. Write the number 24 inside circle A and the number 16 inside circle B. The region where the circles overlap represents the elements that are in both A and B. Based on the given information, we know that n(A U B) = 31. This means that the total number of elements in A and B combined is 31. Since 24 elements are in A and 16 elements are in B, we can subtract the number of elements in the overlap to find the number of elements in A U B. 31 - (number of elements in the overlap) = 31 - 16 = 15. Therefore, there are 15 elements in the overlap region of the Venn diagram.