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# Proof about inequalities and equalities of combinations.

Try these simple proof.

1)$${n \choose r}<{n \choose r+1}$$ if and only if $$0\le r<\frac { 1 }{ 2 } \left( n-1 \right)$$

2)$${n \choose r}={n \choose r+1}$$ f and only if $$n$$ is an odd integer and $$r=\frac { 1 }{ 2 } \left( n-1 \right)$$.

This note $$\in$$ to this this set.Try other problems.

Note by Shivamani Patil
1 year, 8 months ago