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There Are Only 4 Empty Rooms Available in a Student

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There are only 4 empty rooms available in a student dormitory for eleven new freshmen.All the rooms are considered as homogenous so that it does not matter who is being assigned to which room.How many different ways can those 4 empty rooms be filled one student per room?


Definitions:

Decreasing Rate

A situation where the rate at which a process occurs slows down over time.

Post Hoc

Short for the logical fallacy "post hoc ergo propter hoc," meaning "after this, therefore because of this," it implies a mistaken belief that because one thing follows another, it was caused by the other.

Ergo Propter Hoc

A logical fallacy meaning "therefore because of this," implying a cause-and-effect relationship where none exists based solely on sequence of events.

Slope

The measure of the steepness or incline of a line, often calculated as the ratio of the vertical change to the horizontal change between two points on the line.

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