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Larry has 5 different books on his shelf which he wants to distribute to his 3 students so that each of the students may receive at least 1 book. How many different alternatives for the distribution of Larry's books are possible?

Larry has 5 different books on his shelf which he wants to distribute to his 3 students so that each of the students may receive at least 1 book. How many different alternatives for the distribution of Larry's books are possible?

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CT: Chapter Test
Problem 1CT: Alice and Bill have four grandchildren, and they have three framed pictures of each grandchild. They...
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In the solution of each of the problems below, quote an appropriate counting rule and give full details of your modelling and calculations. The analysis should involve introducing appropriate notations and explaining full details of the methodology. Illustrate your solution method using a diagram. Marks are given for the details of the analysis, not just for the final expressions and/or numerical answer. Larry has 5 different books on his shelf which he wants to distribute to his 3 students so that each of the students may receive at least 1 book. How many different alternatives for the distribution of Larry's books are possible?
Transcribed Image Text:In the solution of each of the problems below, quote an appropriate counting rule and give full details of your modelling and calculations. The analysis should involve introducing appropriate notations and explaining full details of the methodology. Illustrate your solution method using a diagram. Marks are given for the details of the analysis, not just for the final expressions and/or numerical answer. Larry has 5 different books on his shelf which he wants to distribute to his 3 students so that each of the students may receive at least 1 book. How many different alternatives for the distribution of Larry's books are possible?
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