You want to thank your professors this year by giving them some cookies. You have 5 professors and 15 cookies, in how many ways can you distribute them given: a. The cookies are identical and each professor gets at least one. b. The cookies are identical and some professors may get none. c. The cookies are unique (each one is a different kind) and some professors might get none.

You want to thank your professors this year by giving them some cookies. You have 5 professors and 15 cookies, in how many ways can you distribute them given: a. The cookies are identical and each professor gets at least one. b. The cookies are identical and some professors may get none. c. The cookies are unique (each one is a different kind) and some professors might get none.

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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You want to thank your professors this year by giving them some cookies. You have 5 professors and 15 cookies, in how many ways can you distribute them given:
a. The cookies are identical and each professor gets at least one.
b. The cookies are identical and some professors may get none.
c. The cookies are unique (each one is a different kind) and some professors might get none.

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