In some problems of occupancy theory we are con-cerned with the number of ways in which certain indistin-guishable objects can be distributed among individuals, urns, boxes, or cells. Find an expression for the number of ways in which r indistinguishable objects can be dis-tributed among n cells, and use it to find the number of ways in which a baker can sell five (indistinguishable)loaves of bread to three customers. (Hint: We might argue that L|LLL|L represents the case where the three cus-tomers buy one loaf, three loaves, and one loaf, respec-tively, and that LLLL||L represents the case where the three customers buy four loaves, none of the loaves, andone loaf. Thus, we must look for the number of ways in which we can arrange the five L’s and the two verti-cal bars.)
In some problems of occupancy theory we are con-cerned with the number of ways in which certain indistin-guishable objects can be distributed among individuals, urns, boxes, or cells. Find an expression for the number of ways in which r indistinguishable objects can be dis-tributed among n cells, and use it to find the number of ways in which a baker can sell five (indistinguishable)loaves of bread to three customers. (Hint: We might argue that L|LLL|L represents the case where the three cus-tomers buy one loaf, three loaves, and one loaf, respec-tively, and that LLLL||L represents the case where the three customers buy four loaves, none of the loaves, andone loaf. Thus, we must look for the number of ways in which we can arrange the five L’s and the two verti-cal bars.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 64RE
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In some problems of occupancy theory we are con-
cerned with the number of ways in which certain indistin-
guishable objects can be distributed among individuals,
cerned with the number of ways in which certain indistin-
guishable objects can be distributed among individuals,
urns, boxes, or cells. Find an expression for the number
of ways in which r indistinguishable objects can be dis-
tributed among n cells, and use it to find the number of
tributed among n cells, and use it to find the number of
ways in which a baker can sell five (indistinguishable)
loaves of bread to three customers. (Hint: We might argue
loaves of bread to three customers. (Hint: We might argue
that L|LLL|L represents the case where the three cus-
tomers buy one loaf, three loaves, and one loaf, respec-
tively, and that LLLL||L represents the case where the
tomers buy one loaf, three loaves, and one loaf, respec-
tively, and that LLLL||L represents the case where the
three customers buy four loaves, none of the loaves, and
one loaf. Thus, we must look for the number of ways
one loaf. Thus, we must look for the number of ways
in which we can arrange the five L’s and the two verti-
cal bars.)
cal bars.)
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