A) 100
B) 101
C) 200
D) 201
Correct Answer: C
Solution :
\[^{100}{{C}_{100}}{{+}^{101}}{{C}_{100}}{{+}^{102}}{{C}_{100}}+{{..........}^{n}}{{C}_{100}}+\] \[\underbrace{\underbrace{^{101}{{C}_{101}}{{+}^{101}}{{C}_{100}}}_{^{102}{{C}_{101}}}\,\,{{\,}^{102}}{{C}_{100}}+}_{^{103}{{C}_{101}}}...........{{+}^{n}}{{C}_{100}}\] \[\therefore \,\,S{{=}^{n+1}}{{C}_{101}}\,{{=}^{201}}{{C}_{101}}\] \[\therefore \,n+1=201\,\Rightarrow \,n=200\]
You need to login to perform this action.
You will be redirected in
3 sec
