The following SQL will get you the row count of all tables in a database:
CREATE TABLE #counts(table_name varchar(255),row_count int)
EXEC sp_MSForEachTable @command1='INSERT #counts (table_name, row_count) SELECT ''?'', COUNT(*) FROM ?'
SELECT table_name, row_count FROM #counts ORDER BY table_name, row_count DESC
DROP TABLE #counts
The output will be a list of tables and their row counts.
If you just want the total row count across the whole database, appending
SELECT SUM(row_count) AS total_row_count FROM #counts