istributing 1000 jobs to 7 servers (we are only interested in how many jobs each server gets). (a) What is the total nu

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 42SE: In horse racing, a “trifecta” occurs when a bettor wins by selecting the first three finishers in...
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2. You are distributing 1000 jobs to 7 servers (we are only interested in how many jobs each server gets).

(a) What is the total number of ways to distribute?

(b) What is the number of ways to distribute so that all servers get at least 100 jobs each?

(c) What is the number of ways to distribute so that there is some server that gets less than 100 jobs?

(d) What is the number of ways to distribute so that there is some server that got at least 300 jobs?

Solve all subparts early I upvote. 

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