How many narrations of the Ahlulbayt are in the Six Sahihs of Sunnis?
And how many narrations of the three caliphs?

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The number of hadith in the Sahih, is 7,275 hadith, including hadith occurring repeatedly. It has been said that this number excluding repeated hadith is 2,230.

http://islamicblessings.com/upload/Collection-Ahlul-Bayt-Proof-Hadith-in-Sunni-Books.pdf