5

Below is the particular expression I am concerned with.

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I suppose it denotes some sort of operation but I am unsure as to what. I'd appreciate some guidance. Thanks.

user55570
  • 177

2 Answers2

7

It is the Binomial coefficient $$ \binom w i = \frac{w!}{i!(w-i)!} $$ Or $$ \binom w i = \frac{w^{\underline i}}{i!} $$ where $w^{\underline i} = w(w-1)\dots(w-i+1)$ is the falling factorial.

Henricus V.
  • 18,694
5

It's almost always a binomial coefficient: $$ \binom{n}{k} $$ (often pronounced "$n$ choose $k$") denotes the number of ways to choose $k$ elements from a set of $n$ elements.