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There are 1024 direct ancestors in 10 generations, excluding the siblings of each generation and including only parents, grandparents, great grandparents ect.
1 Self
2 Parents
4 Grandparents
8 Great grandparents
16 Great grandparents 1 removed
32 Great grandparents 2 removed
64 Great grandparents 3 removed
128 Great grandparents 4 removed
256 Great grandparents 5 removed
512 Great grandparents 6 removed
1024 Great grandparents 7 removed
Added together 2046 direct line ancestors over 10 generations removed from yourself and excluding their siblings. 1024 different families and surnames though some surnames may be repeated down the generations as cousins marry.
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