Use the Venn diagram below to find the number of elements in the region.
-
A) 2
B) 10
C) 18
D) 37

Question

Use the Venn diagram below to find the number of elements in the region. 
-
A) 2 
B) 10 
C) 18 
D) 37

Quizplus · Accepted Answer

The region with 10 elements is the overlap between the two circles, which includes all the elements labeled "11". To find this, we count the number of elements in each circle separately: Circle A has 11 elements (10 labeled "11" and one labeled "17"), Circle B has 29 elements (18 labeled "11" and 11 labeled "17"), and the overlap has 18 elements (10 labeled "11" and 8 labeled "17"). To find the number of elements in the overlap, we add the number of elements in Circle A and B and then subtract the number of elements in the union (which includes all the elements in both circles): $11+29-18 = 22-18=4$. Therefore, the region with 10 elements is the correct answer.

Use the Venn Diagram Below to Find the Number of Elements