Write a program that lets a user enter n and that outputs n! (n factorial, meaning n*(n-1)*(n-2)*..\.\*2*1). hint: initialize a variable total to n (where n is input), and use a loop variable i that counts from total-1 down to 1. compare your output with some of these answers: 1: 1, 2: 2, 3: 6, 4: 24, 5: 120, 8: 40320.