Complete Foundations-of-Computer-Science WGU Materials

Python has a built-in boolean type named bool, which has exactly two values: True and False. These are language keywords/constants and are case-sensitive. Therefore, the correct representation of a boolean value is True (capital T, lowercase rest) or False (capital F). This is consistently taught in introductory programming textbooks because it affects conditional statements (if, while), logical operations (and, or, not), and comparisons.

Option A, "True", is a string literal, not a boolean. While it visually resembles the boolean constant, it behaves differently: non-empty strings are “truthy” in conditions, but "True" == True is false because they are different types (str vs bool). Option B, "true", is also a string, and it differs in casing as well. Option D, true, is not valid in Python; it will raise a NameError unless a variable named true has been defined.

Textbooks also stress that boolean values often result from comparisons, such as x > 0, and that booleans are a subtype of integers in Python (True behaves like 1 and False like 0 in arithmetic contexts). Still, their primary use is representing logical truth values for control flow and decision-making.

In a 2D NumPy array, indexing is written as array[row_index, column_index] using zero-based indices. The array np_2d = np.array([[1, 2, 3, 4], [10, 20, 30, 40]]) has two rows (indices 0 and 1) and four columns (indices 0, 1, 2, 3). The value 40 is located in the second row and the fourth column. Using zero-based indexing, that corresponds to row index 1 and column index 3. Therefore, np_2d[1, 3] returns 40.

Option A attempts to access row 3, which does not exist and would raise an IndexError. Option C attempts to access column 4 in row 0, but valid column indices are only 0 through 3, so it would also error. Option D likewise refers to a non-existent row 4. Only option B uses valid indices and points to the correct location.

Textbooks emphasize multi-dimensional indexing because it underlies matrix operations, dataset manipulation, and feature extraction in data science. Correctly interpreting rows and columns is essential when rows represent observations (like people) and columns represent attributes (like age, weight, height). This question tests precise control over row/column addressing, which prevents subtle bugs in numerical analysis.

Factorial and Fibonacci are classic examples used to teachrecursion, a technique where a function solves a problem by calling itself on smaller subproblems. The key requirement for recursion is (1) abase casethat stops further calls and (2) arecursive casethat reduces the problem size. For factorial, the definition is (n! = n \times (n-1)!) with base case (0! = 1) (or (1! = 1)). For Fibonacci, (F(n) = F(n-1) + F(n-2)) with base cases (F(0)=0) and (F(1)=1). These mathematical definitions map directly into recursive code, which is why textbooks frequently introduce recursion using these sequences.

While factorial and Fibonacci can also be computed iteratively, the question asks for the principle that can be used to implement such algorithms, and recursion is the canonical textbook answer. Recursion also connects to important CS topics: call stacks, activation records, and divide-and-conquer problem solving.

Option A (“procedural programming”) and option D (“object-oriented programming”) are broader paradigms rather than the specific technique used in the classic implementations. Option B (“iterative programming”) is a valid alternative approach, but the standard instructional principle highlighted for these particular examples is recursion. Textbooks also note that naive recursive Fibonacci is inefficient (exponential time) unless optimized with memoization or converted to an iterative or dynamic programming approach.

Selection sort is the algorithm that repeatedly scans the unsorted portion of a list to find the lowest (or highest) value and then places it into its correct position in the sorted portion. It begins at the first index (position 0) and treats that as the boundary between sorted and unsorted regions. On the first pass, it moves a scanning pointer through the entire list to determine the minimum element and swaps it into position 0. On the second pass, it starts from position 1, scans to the end to find the next minimum, and swaps it into position 1. This continues until the list is sorted.

This matches the question’s description: “starts at the first position and moves the pointer until the end of the list, determining the lowest value.” Textbooks often describe selection sort with two indices: one for the current boundary position and one for scanning the remainder of the list to find the minimum. The algorithm is simple and uses O(1) extra space, but it is inefficient for large lists because it performs O(n²) comparisons regardless of input order.

The other options are not standard algorithm names in typical computer science curricula. While many sorting algorithms exist (insertion sort, merge sort, quicksort, heap sort), “incremental,” “progressive,” and “pointer sort” are not canonical textbook algorithms in this context. Therefore, the correct answer is selection sort.