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Write a program in C# that computes the number of possible combinations to obtain a successful result of an arbitrary event. The formula for computing

Write a program in C# that computes the number of possible combinations to obtain a successful result of an arbitrary event. The formula for computing the possible combinations is given by:

C(n,k)= n! / [k! * (n - k)!]

where,

n = the number of events

k = number of success for that event

Use the recursive function factorial explained in the chapter to compute the possible combinations. The output should be displayed as follows:

C( n, k ) = the result,

where n and k are the numbers input by the user.

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