Name your file bionomial.f08. The dropbox for this lab problem will close at 11:59pm NL time on February 12th. Late submissions will not be accepted. 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 k!(n - k)! Write a Fortran program to output a table of binomial coefficients for values of k from O 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 ! Sample input/output Please enter a value for n 8 Binomial coefficients: kn!/(k! (n-k)) 0 1 2 3 4 5 6 7 8 1 8 28 56 70 56 28 8 1