A) \[n>7\]
B) \[n<6\]
C) \[n>6\]
D) None of these
Correct Answer: C
Solution :
\[^{n}{{C}_{3}}{{+}^{n}}{{C}_{4}}{{>}^{n+1}}{{C}_{3}}\] \[\Rightarrow \] \[^{n}{{C}_{3}}{{+}^{n}}{{C}_{3+1}}{{>}^{n+1}}{{C}_{3}}\] \[\Rightarrow \] \[^{n+1}{{C}_{3+1}}{{>}^{n+1}}{{C}_{3}}\] \[\Rightarrow \] \[^{n+1}{{C}_{n+1-4}}{{>}^{n+1}}{{C}_{3}}\] \[\Rightarrow \] \[n+1-4>3\] \[\Rightarrow \] \[n>6\]
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