Final answer:
The modification that makes the grammar LL(1) is a) T → cT' | e
Step-by-step explanation:
In order for a grammar to be LL(1), it must satisfy two conditions: 1) there should be no left recursion, and 2) there should be no conflicts in the parsing table. Looking at the provided options, we can see that option a) T → cT' | e does not have any conflicts and is not left recursive. Therefore, this modification makes the grammar LL(1).