(a) How many ways are there to place 10 paintings into 8 boxes, given there should be at least one painting in each box? (b) How many ways are there to place 5 paintings into 3 boxes, if we are allowed to leave some boxes empty.

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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Redd is an art dealer, and is loading paintings into boxes for transportation. Each of Redd's
paintings are unique and different from all the other paintings; however, the packaging boxes
are identical.
(a) How many ways are there to place 10 paintings into 8 boxes, given there should be at
least one painting in each box?
(b) How many ways are there to place 5 paintings into 3 boxes, if we are allowed to leave
some boxes empty.
Transcribed Image Text:Redd is an art dealer, and is loading paintings into boxes for transportation. Each of Redd's paintings are unique and different from all the other paintings; however, the packaging boxes are identical. (a) How many ways are there to place 10 paintings into 8 boxes, given there should be at least one painting in each box? (b) How many ways are there to place 5 paintings into 3 boxes, if we are allowed to leave some boxes empty.
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