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3. Seven numbered red balls and three indistinguishable blue balls are to be placed in five labelled boxes. (a) What is the number of placements with the condition that each box contains at least one red ball? (b) What is the number of placements where each box contains at most one blue ball and none of the boxes are left empty?

3. Seven numbered red balls and three indistinguishable blue balls are to be placed in five labelled boxes. (a) What is the number of placements with the condition that each box contains at least one red ball? (b) What is the number of placements where each box contains at most one blue ball and none of the boxes are left empty?

A First Course in Probability (10th Edition)
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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Please please answer both a and b

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3. Seven numbered red balls and three indistinguishable blue balls are to be placed in five labelled boxes. (a) What is the number of placements with the condition that each box contains at least one red ball? (b) What is the number of placements where each box contains at most one blue ball and none of the boxes are left empty?
Transcribed Image Text:3. Seven numbered red balls and three indistinguishable blue balls are to be placed in five labelled boxes. (a) What is the number of placements with the condition that each box contains at least one red ball? (b) What is the number of placements where each box contains at most one blue ball and none of the boxes are left empty?
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