Let $A$ Be the Set of the Following Cities $A = \{ \text { Arm, } M I \text {; Bone, } I D ; \text { Cheek, TX; Doublehead, } A L ; \text { Flbow Lake, } M N \}$

Let $A$ be the set of the following cities: $A = \{ \text { Arm, } M I \text {; Bone, } I D ; \text { Cheek, TX; Doublehead, } A L ; \text { Flbow Lake, } M N \}$ Suppose that these cities are connected by direct airplane service as shown in the figure below. Write a set of ordered pairs that show the direct connections between two cities. For example, $( A , E )$ means a direct connection from Arm to Elbow. Identify the correct set of these ordered pairs, and answer whether this set is a function? (Use $A$ to denote $\text { Arm }$ $B$ to denote $\text { Bone, }$ and so on.)

A) $\{ ( A , E ) , ( B , C ) , ( B , E ) , ( C , E ) , ( D , E ) , ( E , A ) \}$ not a function
B) $\{ ( A , E ) , ( B , E ) , ( B , C ) , ( C , E ) , ( C , B ) , ( D , E ) , ( E , A ) \}$ not a function
C) $\{ ( A , E ) , ( B , C ) , ( C , E ) , ( D , E ) , ( E , A ) \}$ a function
D) $\{ ( A , E ) , ( B , E ) , ( B , C ) , ( C , E ) , ( C , B ) , ( D , E ) , ( E , A ) , ( E , D ) , ( E , C ) , ( E , B ) \}$ not a function
E) $\{ ( A , E ) , ( B , C ) , ( C , E ) , ( D , E ) , ( E , A ) , ( C , D ) \}$ not a function