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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
2 years, 2 months ago

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