The steps of a staircase have a height h each. The ground level has a zero height. Three distinguishable balls are placed on these steps such that the sum of their heights is 4h. Calculate the number of possible arrangements if,, (a) there is no restriction on the number of balls per step. (b) no more than one ball can be placed on each step. What are these numbers if the balls are indistinguishable?

The steps of a staircase have a height h each. The ground level has a zero height. Three distinguishable balls are placed on these steps such that the sum of their heights is 4h. Calculate the number of possible arrangements if,, (a) there is no restriction on the number of balls per step. (b) no more than one ball can be placed on each step. What are these numbers if the balls are indistinguishable?

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Description: The steps of a staircase have a height h each. The ground level has a zero height. Threedistinguishable balls are placed on these steps such that the sum of their heights is 4h. Calculatethe number of possible arrangements if,(a) there is no restric

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The steps of a staircase have a height h each. The ground level has a zero height. Three
distinguishable balls are placed on these steps such that the sum of their heights is 4h. Calculate
the number of possible arrangements if,
(a) there is no restriction on the number of balls per step.
(b) no more than one ball can be placed on each step.
What are these numbers if the balls are indistinguishable?
5-

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