High School

What is the condition to use Counting Sort?
A. Sorting integers within a limited range
B. Sorting floating-point numbers
C. Sorting strings
D. Sorting arrays with duplicate elements

What is the condition to use Radix Sort?
A. Sorting integers within a limited range
B. Sorting strings
C. Sorting data with a non-uniform distribution
D. Sorting integers represented in positional notation

What is the best application scenario for Bucket Sort?
A. Sorting large arrays of integers
B. Sorting elements with a known upper bound
C. Sorting linked lists
D. Sorting uniformly distributed data

Answer :

Final answer:

Counting Sort is best for sorting integers within a limited range, Radix Sort for sorting integers represented in positional notation, and Bucket Sort for sorting uniformly distributed data.

Explanation:

Counting Sort is most appropriate for sorting integers within a limited range (option a), as it counts the occurrence of each distinct element to determine the position of each element in the sorted array.

Radix Sort is ideal for sorting integers represented in positional notation (option d), often employed when there is a need to sort data such as large numbers or strings of characters, and it sorts data by individual digits or letters, which have their own positional value.

Finally, the best application scenario for Bucket Sort is sorting uniformly distributed data (option d), as it distributes elements into a number of buckets, then sorts the contents of each bucket before concatenating them back together.