Men and Women Alternating

Men and Women Alternating

## Formula

If $$n$$ men and $$n$$ women must sit alternately in a row:

$$2(n!)^2$$

If $$n$$ men and $$m$$ women with $n>m$ are required to alternate, then:

$$n!{}^{n-1}P_m$$

## Conditions / Special Cases

Alternation is possible only when:

$$|n-m|\le1$$

## Usage

- Used for arranging two groups alternately in a row.