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The phrase "amount of possible solutions" is not correct in standard written English; it should be "number of possible solutions." You can use it when discussing the quantity of solutions available to a problem or situation.
Example: "After analyzing the data, we found a significant number of possible solutions to the issue at hand."
Alternatives: "quantity of possible solutions" or "count of possible solutions."
Exact(2)
This leads to an underdetermined system with a large amount of possible solutions.
The amount of possible solutions is reduced to a computationally, feasible size by making crucial assumptions (as mentioned above).
Similar(58)
There was an impressive amount of research done some of the groups, as well as a broad range of possible solutions.
Even more remarkably, the amount of time it takes the amoeba to reach these nearly optimal solutions grows linearly, even though the number of possible solutions increases exponentially.
Make a web of possible solutions.
Njambi and other experts have plenty of possible solutions.
Then they propose a series of possible solutions.
State the range of possible solutions.
Identify the problem and create a list of possible solutions.
Selection of possible solutions.
Write down a list of possible solutions.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com