They did not ask about shortest paths from S to T but they had asked the shortest path obtained by applying Dijkstra algorithm. If we apply Dijkstra algorithm we got path from S to T 10 only after relaxing edges through E and E will get 6 only after relaxing edges through C and C will get 5 only after relaxing edges through A. So, the shortest path from S to T if we follow Dijkstra algorithm is S,A,C,E,T.
The shortest path between S to T is SBDT also but if you follow Dijkstra shortest path algorithm then the shortest path you will getting from S to T is only SACET. We suggest you to apply Dijkstra algorithm on S and find the shortest path between S to all vertices. Then the path you will get from S to T is SACET.


Here we will draw edge from E to T not D to S because we updated the T value to 10 after selecting vertex E.
So, path is S, A, C, E, T.
Here D will get 7 only through S. So, SBDT is not possible and SDT is not possible because T will get 10 only after selecting E. So, path is SACET.

In Dynamic programming Floyd Warshall algorithm is used to calculate the all pairs shortest path distance.