1. The binomial coefficient of two integers n and k is the number of ways of choosing k unordered outcomes from n possibilities. Its value is given by n! k!(n k)! Write a Fortran program to output a table of binomial coefficients for values of k from 0 to n where the value of n is obtained from the user. Your solution should include the following: . a function that takes two integer arguments, n and k, and returns the value of the binomial coefficient; a function that takes one integer argument, n, and returns n!. . Sample input/output Please enter a value for n 8 Binomial coefficients: k n!/(k! (n-k)!) 0 1 8 1 2 3 von A OS 28 56 70 56 28 8