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How many generations were there between Rachab, the mother of Booz, and David?

Matthew: Three—Booz, Obed and Jesse ([i, 5, 6]).

Rachab lived at Jericho when it was taken by the Israelites. Jericho was taken 1451 B. C., the year that Moses died. David was born 1085 B. C.—nearly four centuries later.