# What does “randomly permuted” mean in the context of the randomized cluster bootstrap?

I have read, in the context of boostrapping clustered data,

Davison and Hinkley (1997), pages 100–102, discussed the randomized cluster bootstrap (‘Strategy 1’) in which clusters are selected by simple random sampling with replacement and then observations within clusters are randomly permuted

Bootstrapping clustered data Journal of the Royal Statistical Society: Series B (Statistical Methodology) Volume 69, Issue 3, pages 369–390, June 2007

Could someone please explain what "randomly permuted" means in this context, and if possible give an example of how this works in the randomized cluster bootstrap ?

Example: you have data on students nested in schools. Bootstrap procedure is: first you sample with replacement $K$ out of $K$ schools and in the second step you change order of students in the schools sampled. So you get different sample of schools but the same samples of students within the schools sampled.