A) 6
B) 7
C) 5
D) none of these
Correct Answer: B
Solution :
\[{}^{m}{{C}_{3}}+{}^{m}{{C}_{4}}{{>}^{m+1}}{{C}_{3}}\] |
\[\Rightarrow \] \[{}^{m+1}{{C}_{4}}>{}^{m+1}{{C}_{3}}\] |
\[\Rightarrow \] \[\frac{(m+1)!}{(m-3)!4!}>\frac{(m+1)!}{(m-2)!3!}\] |
\[\Rightarrow \] \[m-2>4\] |
\[\Rightarrow \] \[m>6\] |
\[\Rightarrow \] The least value of m is 7. |
You need to login to perform this action.
You will be redirected in
3 sec