AP EAMCET2014MathematicsPermutation and Combination
If n is an integer with 0 n 11 , then the minimum value of n !(11-1) ! is attained when a value of n equals to
Options
- A11
- B5
- C7
- D9
Correct answer
B. 5
Step-by-step solution
We know, ¹¹ C_n is maximum when n=5 . ¹¹ C_n= 11 ! n !(11-n) ! n !(11-n) ! is minimum when n=5 .