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The phrase "number of children" is correct and usable in written English.
You could use it when referring to the amount of children in a particular group. For example: "The number of children in the classroom was 20."
Exact(60)
I have an absurd number of children.
Returns the number of children interactors in this container.
"The average number of children in the world is 2.4.
Are apps and YouTube reducing the number of children reading?
The number of children going on school trips has declined.
And the number of children in school held steady.
The number of children born into poverty steadily increased.
The family cap applies regardless of the number of children.
The number of children removed from their families soared.
The upper limit depends on the number of children.
The exact number of children is under contention.
More suggestions(19)
number of satellites
number of facets
number of scenes
number of quakes
number of pages
number of servings
number of reasons
number of players
number of movements
number of stations
number of passengers
number of eyeballs
number of bids
number of employees
number of gallons
number of things
number of innings
number of grams
number of ounces
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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