Exercise 11.1.2: Find the next permutation in lexicographic order. About For each permutation of {1, 2, 3, 4, 5, 6, 7}, give the next largest permutation or indicate that the permutation is the last one in lexicographic order. (a) (1, 2, 3, 4, 5, 6, 7) (b) (7, 6, 5, 4, 3, 2, 1) (c) (1, 7, 6, 4, 2, 3, 5) (d) (3, 7, 6, 5, 4, 2, 1) (e) (5, 4, 7, 6, 3, 2, 1)

Respuesta :

Solution :

A permutation in the field of mathematics may be defined as the arrangement of its members into a linear order or a sequence. However, if a set is already being ordered, then it is the rearrangement of the elements of the set.

In the context, the next largest permutation set is :

a). (1,2,3,4,5,6,7)

b). The given permutation is the last one in the lexicographic order.

c). (1,7,6,4,2,5,3)

d). (4,1,2,3,5,6,7)

e). (5,6,7,4,3,2,1)

The next permutation in lexicographic order will be (5,6,7,4,3,2,1).  

What is a permutation?

It should be noted that a permutation in the field of mathematics where there are several possible ways in which numbers or things can be ordered or arranged.

When applied to numbers, the lexicographic order is increasing numerical order. This is an increasing numerical order from left to right). For example, the permutations of {1,2,3} in lexicographic order are 123, 132, 213, 231, 312, and 321

In the context, the next largest permutation set is (5,6,7,4,3,2,1).

Learn more about permutations on:

https://brainly.com/question/1216161