(a) How many possibilities are there to give 30 identical cookies to 4 kids? (b) How many possibilities are there to give 30 identical cookies to 4 kids if you make sure that each kids gets at least one cookie? (c) Now you give 30 cookies to 40 kids. Because demand exceeds supply, you give at most one cookie to each kid. How many possibilities do you have? Write your solution in terms of binomial coefficients.

(a) How many possibilities are there to give 30 identical cookies to 4 kids? (b) How many possibilities are there to give 30 identical cookies to 4 kids if you make sure that each kids gets at least one cookie? (c) Now you give 30 cookies to 40 kids. Because demand exceeds supply, you give at most one cookie to each kid. How many possibilities do you have? Write your solution in terms of binomial coefficients.

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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