The two men nominated by the Apostle to vie for the place of Judas Iscariot were

A.

Joseph and Mathias

B.

Justus and Barnabas

C.

Barnabas and Justus

D.

Barnabas and Joseph

E.

Barsabbas and Marthias

Correct answer is E

In the Acts of the Apostles, Joseph Barsabbas (also known as Justus) and Mathias were the two candidates qualified to be chosen for the office of apostle after Judas Iscariot lost his apostleship when he betrayed Jesus and committed suicide. 

."[Acts 1:24–25]
Then they prayed, "Thou, Lord, which knowest the hearts of all [men], shew whether of these two thou hast chosen, That he may take part of this ministry and apostleship, from which Judas by transgression fell, that he might go to his own place. Then they cast lots, and the lot fell to Matthias; so he was numbered with the eleven apostles.