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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:

Cash Distribution

The payment of earnings, interest, or dividends in cash to shareholders or partners by a corporation, partnership, or other entity.

Liquidating Distribution

A payment made by a corporation to its shareholders during its dissolution, distributing its assets to the owners according to their ownership share.

Basis

The amount paid for an asset, used to determine gain or loss for tax purposes upon sale or other disposition.

Recognized Gain

The portion of gain that is subject to tax after the sale or exchange of an asset, calculated as the difference between the asset's adjusted basis and its sale price.

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