Question
Question: If n is odd and <sup>n</sup>C<sub>0</sub>\<<sup>n</sup>C<sub>1</sub>\<<sup>n</sup>C<sub>2</sub>\< …...
If n is odd and
nC0<nC1<nC2< ….. <nCr>nCr + 1>nCr + 2> …..nCn then r =
A
2n
B
2n−1
C
2n−2
D
Does not exist
Answer
Does not exist
Explanation
Solution
From the given relation it is evident that nCr is the greatest among the values nC0, nC1, …., nCn
̃ r = 2n−1 or 2n+1 because n is odd
But only one term nCr is greater to other so there is no value of r.