Question
Which all statements are correct about
SortingSolution
Option 5: only b and d Explanation
- Bubble sort has O(n^2) as best case time complexity
- This statement is incorrect . The best case time complexity for Bubble Sort is O(n) , which occurs when the array is already sorted. In such cases, Bubble Sort can detect the sorted array early and terminate.
- Selection sort has O(n^2) as best case time complexity
- This statement is correct . Selection Sort always has a time complexity of O(n^2) , regardless of the initial ordering of the elements. This is because it always goes through the entire list to find the minimum element for each position.
- Insertion sort has O(n^2) as best case time complexity
- This statement is incorrect . The best case time complexity for Insertion Sort is O(n) , which occurs when the array is already sorted. In such cases, each insertion requires only one comparison.
- Radix sort has O(n+K) as best case time complexity
- This statement is correct . Radix Sort has a time complexity of *O(d(n + k))**, where d is the number of digits in the largest number and k is the range of the digit (base of the number system). In many cases, it is simplified to O(n + k) if the number of digits d is considered a constant.
- Selection Sort has O(n^2) as its best case time complexity.
- Radix Sort has O(n + k) as its best case time complexity
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