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Set Up a Generating Function and Use It to fiNd

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Set up a generating function and use it to find the number of ways in which eleven identical coins can be put in three distinct envelopes if each envelope has most six coins in it.


Definitions:

Proprietorship

A business structure owned by a single individual who is responsible for its liabilities and entitled to its profits.

Taxed

The imposition of a financial charge or other levy upon a taxpayer by a governmental organization in order to fund government spending and various public expenditures.

Double Taxation

A taxation principle referring to income taxes that are paid twice on the same source of income, common in C-type corporations where income is taxed at both the corporate and shareholder levels.

Corporate

Relating to a large company or group of companies authorized to act as a single entity.

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