Finding the count of a word in a list of files in linux

I have a list of files(more than 300) with similar names. Example:
abc01, abc02, abc03…..
How can I find the number of times a specific word occurs in all these files in linux?
I have used this:

cat abc* | grep 20211203 | wc -l

Suppose i need to find a list of specific dates in the format yyyymmdd from these files and their counts, what should i include more?For example if there are value 20211203 is occuring 4 times and the value 20211202 is occuring 12 times and so on, is there a way to get the list of these value(like the format given below)?

4 20211203

12 20211202

.

.

. and so on

>Solution :

Try this:

cat abc* | grep -c word

where word is your word to be searched.