Final answer:
The statement is true; Java and some other languages do not permit multiple inheritance via the extends keyword due to complications like the Diamond Problem. Instead, Java allows a class to implement multiple interfaces.
Step-by-step explanation:
The statement 'Multiple inheritance via extends is not permitted in the EXTENDS inheritance' is TRUE. In certain programming languages, such as Java, multiple inheritance is not allowed using the extends keyword. This is because it can lead to various issues, including but not limited to the 'Diamond Problem', where a method or property cannot be unambiguously inherited from multiple parent classes.
However, there are other languages like C++ that allow multiple inheritance. Also, Java provides a workaround by allowing a class to implement multiple interfaces using the implements keyword even though it cannot extend more than one class.