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Answer :

There are 24 ways how a particle can travel in XYZW space from the origin to the point (4, 3, 5, 4).

The number of ways how a particle can travel in XYZW space from the origin is equal to the total permutations associated to the quantity of coordinates within the generated space. That is to say:

[tex]x = 4! = 4\times 3\times 2 \times 1[/tex]

[tex]x = 24[/tex]

There are 24 ways how a particle can travel in XYZW space from the origin to the point (4, 3, 5, 4).

We kindly invite to check this question on permutations: https://brainly.com/question/14767366