Instructions: Write an interactive program using C++ 10 calculate the permutations and combinations based on two positive input integers: n and r, where r-n. Your program will output, in a table format 1) the permutations of nPr. nP+1 P+2). , Pa, takenr at a time. 2) the combinations of nCt. aC+1), nC n, taken r at a time. For example, if n-5, r-3, your program will output nCr 10 nPr 60 120 120 4 Be sure to perform the appropriate error checking to ensure the inputs are valid