The Remote Method Invocation (RMI) is an Application Programming Interface (API) that provides a mechanism to create distributed application in Java. Write a server-side program using RMI that provides the skeleton to the calling client to invoke all the available remote methods. The remote methods as shown below will calculate and return the factorial value, combination value and permutation value respectively:

factorial(int n)

combination(int n, int r)

permutation(int n, int r)

These methods will do the necessary operations and return the results to the client. Formulas for factorial (n! ), combination (C(n,r)) and permutation (P(n,r)) are given in Figure 5 below.

Figure 5: Formulas