What rhymes with cantoning?
can·ton·ing

A billet is a living-quarters to which a soldier is assigned to sleep. Historically, a billet was a private dwelling that was required to accept the soldier. Soldiers are generally billeted in barracks or garrisons when not on combat duty, although in some armies soldiers with families are permitted to maintain a home off-post. Used for a building, the term billet is more commonly used in British English; United States standard terms are quarters, barracks, Single (Soldier) Housing or Family Housing.

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