What is the process of selecting men to serve in the armed forces involuntarily

The process of selecting men to serve in the armed forces involuntarily is called conscription. Conscription is sometimes called a "draft", and dates back to antiquity (which just means, like a long time ago, or ancient past) and continues in some countries to the present day under a variety of names.

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the exclusive possession or control of the supply or trade in a commodity or service.