String input$\_$word is read from input. In scramble$\_$letters$(),$ complete the recursive case to perform the following tasks for each letter at index i in remaining$\_$letters:

Create a new string that contains all the letters of remaining$\_$letters except the letter at index i$.$

Create a second new string that contains all the letters in used$\_$letters with the letter at index i added at the end of the string.

Recursively call scramble$\_$letters$()$ with the two newly created strings and count as the arguments. Assign count with the value returned by scramble$\_$letters$().$