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Permutation Rank of Gray Code

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I need a detailed solution of the attached problem.

Recall the "Gray code"-like listing of all the permutations....

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Solution Summary

This provides an example of determining the rank of permutation for a given entry in a list.

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Consider 192837465
First we will write all the digits in ascending order: 1, 2, 3, 4, 5, 6, 7, 8, 9
After the digit 1 in the first place, there are 2, 3, 4, 5, 6,7 ,8 - seven in number, digits before 9 occupies the second place
So, Numbers starting with 12 ------- are 7! in number. They all come before 192837465 comes.
Now, Numbers starting with 13 ------- are 7! in ...

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