Coefficient of a Particular Term in a Trinomial
## Formula
In:
$$(a+b+c)^n$$
the coefficient of:
$$a^pb^qc^r$$
is:
$$\frac{n!}{p!q!r!}$$
provided:
$$p+q+r=n$$
## Usage
- Used to directly find a required term or coefficient without expanding the complete expression.