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The phrase "total numbers of" is correct and usable in written English
It is used to indicate the quantity of something, usually nouns which can be counted. For example, "The total numbers of students in the school is 500."
Exact(60)
The team also took random samples throughout the two colonies to estimate total numbers of dead monarchs in the forests.
"By shutting schools we don't expect huge reductions in the total numbers of cases," Dr. Cauchemez said.
The total numbers of fatalities and casualties nationwide have not yet been confirmed.
n Total numbers of MPs in wireless mesh LAN.
The total numbers of paper reviewed were 68.
However, the total numbers of students and staff are similar.
The total numbers of articles during this period were 23.
Total numbers of such questions are 14 14
The total numbers of elements in the geometry were 864,650, and total numbers of nodes created were 247,119.
For estimation of the numbers of healthy eggs, the total numbers of infected eggs were subtracted from the total numbers of eggs.
We compared models across different sample sizes and different total numbers of observations.
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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