In this task, you are given inputs i,j, and A, where i and j are integers and A is a list. You need to return the sum of all the numerical elements in the list A between the positions i and j (including positions i and j). Return 0 if no numerical element is present in the list between the given ranges. i and j will be non-negative, and will always have a value less than the length of A. i will always be less than j.
1, 20, ['2751', '6461', 'k', 's', '5769', '3293', 'y', '6311', '4467', 'z', '921', 'a', '9189', '8323', '183', 'P', 'y', 'k', '8627', '3815', '5137', 'a']