Question

Enter the next permutation of the set {1, 2, 3, 4, 5} in lexicographic order. (1,4,3, 5, 2) < (Ex: 1, 2, 3, 4, 5) , 5 < )

Answer 1

The next permutation of the set {1, 2, 3, 4, 5} in lexicographic order is {1, 4, 3, 5, 2}. To find the next permutation, follow the step-by-step instructions provided.

Step-by-step explanation:

The next permutation of the set {1, 2, 3, 4, 5} in lexicographic order is {1, 4, 3, 5, 2}.

To find the next permutation, we need to find the smallest rearrangement of the numbers that is greater than the current permutation. Here are the step-by-step instructions:

1. Start from the rightmost number (5 in this case) and find the first number that is smaller than the number to its right. Let's call this number the pivot.
2. From right to left, find the first number larger than the pivot. Let's call this number the successor.
3. Swap the pivot and the successor.
4. Reverse the order of the numbers to the right of the pivot.

Applying these steps to the set {1, 2, 3, 4, 5}, we get the next permutation {1, 4, 3, 5, 2}.