As I learnt in my childhood about Sahih Al-Bukhari and Sahih Al-Muslim,
Imam Bukhari himself counted approx. 4000 hadith sahih without repetition (same verse or meaning from different person or chain)
Imam Muslim himself counted approx. 2000 hadith sahih without repetition (same verse or meaning from different person or chain)
The different between Sahih Al-Bukhari and Sahih Al-Muslim; since Muslim is student of Bukhari, is approx. 100 hadith.
If we combine hadith just from Sahih Al-Bukhari and Sahih Al-Muslim, we get approx. 4100 hadith.
And I have not read otherwise yet. But you can research on http://www.sunnah.com/ yourself.
