1. *Things Fall Apart* (1958) - the first and most famous.
2. *No Longer at Ease* (1960) - the sequel to Things Fall Apart.
3. *Arrow of God* (1964) - published next.
4. *Man of the People* (1966) - follows Arrow of God.
5. *Anthills of the Savannah* (1987) - the last of the listed novels.
Therefore, the correct order is: B, E, C, A, D, matching option 3.