Polymorphism allows for implementing methods: With the same name and same parameters   With the same name but different parameters   With different names but the same parameters   With different names and different parameters

Polymorphism in programming allows for implementing methods:

1. With the same name but different parameters: This is known as method overloading. In this case, the method performs a different function depending on the parameters. For example, a method named 'add' could add two integers, two floats, or even concatenate two strings, depending on the parameters passed.

2. With the same name and same parameters: This is known as method overriding. In this case, a subclass provides a specific implementation of a method that is already provided by its parent class. The method in the subclass must have the same name, return type and parameters as the one in its parent class.

The other two options you mentioned are not related to polymorphism:

3. With different names but the same parameters: This is not related to polymorphism. Methods can have different names and the same parameters, but this is just a normal function definition and does not involve polymorphism.

4. With different names and different parameters: This is also not related to polymorphism. Again, methods can have different names and different parameters, but this is just a normal function definition and does not involve polymorphism.