Coefficient of a Particular Term in a Trinomial

Rarely Tested

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.

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