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Recursion. The binomial coefficients can be represented by the following recursive definition. c(n, k) = c( n-1, k-1) + c( n-1, k) for n >= 0 and 0 < k < n c(n, 0) = c( n, n) = 1 a. Write a recursive method to calculate the binary coefficient for any n and k. The method should throw an...

Recursion. The binomial coefficients can be represented by the following recursive definition. c(n, k) = c( n-1, k-1) + c( n-1, k) for n >= 0 and 0 < k < n c(n, 0) = c( n, n) = 1 a. Write a recursive method to calculate the binary coefficient for any n and k. The method should throw an...