Given the following small project for an AOA network:

$\backslash$table$[[$Activity$,$Immediate Predecessor$($s$)],[$A$,$D$],[$B$,$C$,$ D$],[$C$,$None$],[$D$,$None$],[$E$,$A$,$ B$]]$

Which of the following statements is correct?

Select one:

a$.$ there should be $6$ nodes and one dummy arc in this AOA network

b$.$ there should be $4$ nodes and no dummy arc in this AOA network

c$.$ there should be $5$ nodes and one dummy arc in this AOA network

d$.$ there should be $4$ nodes and one dummy arc in this AOA network

e$.$ there should be $5$ nodes and no dummy arc in this AOA network