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.
11, 20, ['7623', 'H', 'i', 'Y', '2505', 'S', '8435', 'M', 'g', 'y', 'E', '8779', '5497', 'K', '7237', '2347', '6637', 'A', '8443', '5363', 'w', '1167']