## Columbia
Mathematics Department Colloquium

*The 13th Proof that
n!/(k!(n-k)!) ≤ n!/((k+1)!(n-k-1)!) (if k< n/2)*

### by

### Doron Zeilberger

### Rutgers University

Abstract:

After
quickly reviewing the twelve already-known proofs,

I will
present yet-another-proof that, in my humble opinion, is the
nicest.

[Warning:
this is not going to be a proper mathematics talk, since
there

is a fairly
good chance that you will understand everything!

If you are
offended by a math talk that you can actually
understand,

you are
strongly warned not to come ]

.

**February 17th, Wednesday, 5:00-6:00
pm**

**Mathematics
520**

**Tea will be
served at 4:30pm**