An AOA network has five activities, $A,B,C,D,$ and $E.A$ is an immediate predecessor of C and of $D.B$ is also an immediate predecessor of $C$ and of $D.C$ and $D$ are both immediate predecessors of E$.$ Which of the following statements is true?

Select one:

a$.$ There should be $8$ paths in the AOA network.

b$.$ There should be $10$ paths in the AOA network.

c$.$ There should be $2$ paths in the AOA network.

d$.$ There should be $6$ paths in the AOA network.

e$.$ There should be $4$ paths in the AOA network.