What is the significance of the term "the then existing House or Assembly" mentioned in this content?
The term "the then existing House or Assembly" mentioned in this content refers to the current House of the People (Lok Sabha) or Legislative Assembly of a State that is in existence at the time when an action, such as making appointments to services and posts, is being considered. This phrase ensures that any actions taken are not affected by changes in the composition of these legislative bodies until their dissolution.