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Mathematical theorem of senior three
Cn take m+Cn take m+ 1=Cn+ 1 take m+ 1 (formula).

Then, C 10 takes 9+C 1 1 takes 9+C 12 takes 9+...+C 19 takes 9.

=C 10 take 10+C 10 take 9+C 1 1 take 9+C 12 take 9...+C 19 take 9-c/.

=C 1 1 take10+c1take 9+C 12 take 9+ 1...+C 19 take 9-.

=C 12 takes 10+ C 12 takes 9+...+C 19 takes 9-1.

=C 13 10+C 1310+1...+c19/9/.

=..........=C 19 take 10+ C 19 take 9-1.

=C20 takes 10-1.