The State of Georgia is distributing $200 million in funding to Fulton, Bibb, Gwinnett, DeKalb, Cobb, and Clayton counties. In how many ways can this distribution be made, assuming that each county receives at least $2 million, Dekalb county receives at most $70 million, and Fulton county receives at least $50 million and at most $90 million?

The State of Georgia is distributing $200 million in funding to Fulton, Bibb, Gwinnett, DeKalb, Cobb, and Clayton counties. In how many ways can this distribution be made, assuming that each county receives at least $2 million, Dekalb county receives at most $70 million, and Fulton county receives at least $50 million and at most $90 million?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Concept explainers

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.

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The State of Georgia is distributing $200 million in funding to Fulton, Bibb, Gwinnett, DeKalb,
Cobb, and Clayton counties. In how many ways can this distribution be made, assuming that
each county receives at least $2 million, Dekalb county receives at most $70 million, and Fulton
county receives at least $50 million and at most $90 million?

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