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Positive Integer Solutions
## Formula
The number of positive integer solutions of:
$$x_1+x_2+\cdots+x_n=r$$
is:
$${}^{r-1}C_{n-1}$$
provided:
$$r\ge n$$
## Usage
- Used when every variable or recipient must receive at least one object.
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Positive Integer Solutions
## Formula
The number of positive integer solutions of:
$$x_1+x_2+\cdots+x_n=r$$
is:
$${}^{r-1}C_{n-1}$$
provided:
$$r\ge n$$
## Usage
- Used when every variable or recipient must receive at least one object.
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