If we have 100 (identical) tennis balls and 40 identical bags to place them in, how many ways are there to distribute the tennis balls into the bags if (a) the bags are required to be non-empty; (b) we allow bags to be empty; (c) 20 of the bags can only contain an even number of tennis balls (the other 20 bags can contain any number of tennis balls).

If we have 100 (identical) tennis balls and 40 identical bags to place them in, how many ways are there to distribute the tennis balls into the bags if (a) the bags are required to be non-empty; (b) we allow bags to be empty; (c) 20 of the bags can only contain an even number of tennis balls (the other 20 bags can contain any number of tennis balls).

Name: This question is from the subject Discrete Mathematics 2, where it inv
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Description: This question is from the subject Discrete Mathematics 2, where it involves basic set theory, combinatorics, graph theory etc. 2. If we have 100 (identical) tennis balls and 40 identical bags to place them in, how many waysare there to distribute the

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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This question is from the subject Discrete Mathematics 2, where it involves basic set theory, combinatorics, graph theory etc.
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