counting the number of files under an entire directory tree

Hi Managers,

We have a directory with a huge number of directories and subdirectories,
sub-subdirectories, and files.  Does anyone know a command or a series of
piped commands (presumably including 'wc') to count exactly the number of
files and directories under a specific directory?

ES40 running Tru64 5.1a.

Thank in advance,

Kevin

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Kevin Dea
UNIX System Administrator
Alpine Electronics Research of America