EDIT: “this will always count the files plus one, cause the --format=oneline
includes the commit-hash/header” as mentioned by c00kiemon5ter
The git whatchanged
tool shows you a summary of files that were modified. By itself it lists all commits, but you can also limit it to just the recent n commits:
git whatchanged -1
To count files:
git whatchanged -1 --format=oneline | wc -l
See git help whatchanged
for details.