The number of swappings needed to sort the numbers 8, 22, 7, 9, 31, 5, 13 in ascending order, using bubble sort is
(A) 11
(B) 12
(C) 13
(D) 10


Answer: (D)

Explanation: 1 : 8, 7, 9, 22, 5, 13, 31 = 4 swaps
2 : 7, 8, 9, 5, 13, 22, 31 = 3 swaps
3 : 7, 8, 5, 9, 13, 22, 31 = 1 swap
4 : 7, 5, 8, 9, 13, 22, 31 = 1 swap
5 : 5, 7, 8, 9, 13, 22, 31 = 1 swap
Total 10 swaps are required to sort the array.

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