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"numbers of each" is grammatically correct and can be used in written English.
It is typically used to refer to multiple quantities or amounts of something. Example: The grocery store had large numbers of each type of fruit available for purchase.
Exact(60)
Note the numbers of each type of response to these scenarios.
Nevertheless there is no precise census showing the relative numbers of each group.
Below the map, the screen lists the names, addresses and telephone numbers of each store.
The numbers of each kind of vehicle in use is not clear, so the death rates by model are unknown.
Sets of 40 include equal numbers of each digit, which are magnetic or slip into plastic holders.
It doesn't say whose opinions were sought, or give the numbers of each kind of interested party it listened to.
This program acquires a service ticket for the specified Kerberos principals and prints out the key version numbers of each.
Total number of the bacteria and numbers of each different strain were determined at various levels of the bioreactor.
Forbes created its top-grossing actors list by adding up the global box office numbers of each star's movies.
The originating and terminating telephone numbers of each call is powerful information, even when the numbers are separated from the identity of the subscribers.
Mark's cyanea and hairy wikstroemia, both endemic to the US state, were both thought to be extinct but small numbers of each species were recently found.
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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