(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.

College Algebra
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ISBN:9781337282291
Author:Ron Larson
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Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 40CT: There are 10 applicants for three sales positions at a department store. All of the applicants are...
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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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