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Difference between In order of something and In the order of something

in order of something—arranged according to some specified criterion:

  • This arrangement of items in order of size or other value, is called by statisticians an array.

in the order of something

1. approximately; roughly:

  • Britain’s contribution is something in the order of five per cent.

2. = in order of something:

  • Counting from below upwards the members arise in the order of their age.