The phrase "all possible arrangements" is correct and usable in written English.
It can be used when discussing various ways to organize or arrange items, ideas, or elements in different configurations.
Example: "We need to consider all possible arrangements of the seating chart to ensure everyone is comfortable."
Alternatives: "every conceivable arrangement" or "all potential configurations".
The solution is to calculate all possible arrangements (10!) and subtract off all the ways of arranging the books by subject with biology first (5!5!) and all the ways of arranging the books by subject with physics first (5!5!) for a result of 10 -2 5!5!) = 3,600,000.
Why or even how this of all possible arrangements should exist defies ordinary human understanding.
All possible arrangements starting from various Voigt model arrangements over Maxwell model arrangements have been evaluated.
First, all possible arrangements of H2O and NH3 on top of graphene/Ni(111) have to be considered.
In a disordered system, the alignment effects would largely be negated, or averaged out, since one would expect to encounter all possible arrangements.
The problem space comprises all possible configurations in that domain (e.g., for chess problems, all possible arrangements of pieces on a board of chess).
Numerical analysis for all possible system arrangements is demonstrated.
Within all these possible arrangements, there are some arrangements that would result in the books being grouped by subject leading to the question: What would the multiplicity be of this set of books if they were not ordered by subject?
If the drug has a significant effect during the period it is given, we would expect that the mean of performance ON the drug compared with periods OFF would be larger than all the other possible arrangements of the data set from this patient.
Consider the set of all mathematically possible material shapes that is, all mathematically possible arrangements of particles.
The formulated alternatives of all the possible arrangements of PC configurations provide a complete subspace for optimal design of multicomponent distillation systems not only for the economics, but also for column equipment designs.
