Given N different balls and M boxes, in how many different ways can the balls be placed in the boxes, if there is no restriction on box occupation? What is the number of arrangements having y balls in the jth box? What is the probability of this arrangement? Which statistics does this describe?

Given N different balls and M boxes, in how many different ways can the balls be placed in the boxes, if there is no restriction on box occupation? What is the number of arrangements having y balls in the jth box? What is the probability of this arrangement? Which statistics does this describe?

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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Given N different balls and M boxes, in how many different ways can the balls be
placed in the boxes, if there is no restriction on box occupation?
What is the number of arrangements having y balls in the jth box?
What is the probability of this arrangement?
Which statistics does this describe?

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