number-of-ways-of-fair-division

Question

I want divide N distinct things among R persons such that the difference between the maximal and the minimal number of things a person receives is less than two.

It is not necessary that N % R = 0.

Can someone please find out formula, in terms of N & R, for this question.

sudhir pal · Accepted Answer

total no of ways = (total no of ways to form R bundels(number of things a person receives) out of N things) x (no of ways to distribute these bundels in R people)in this question I have assumed size of bundels(number of things a person receives) to be same.i.e only certain size of bundel will be there. if you do not consider this assumption then it would be difficult to assign size to bundel and solving it would be very cumbersome.rest of the solution I'm attachingThanks & RegardsSudhir,askIITians FacultyQualification.IIT Delhi

Algebra> number-of-ways-of-fair-division...

I want divide N distinct things among R persons such that the difference between the maximal and the minimal number of things a person receives is less than two.

It is not necessary that N % R = 0.

Can someone please find out formula, in terms of N & R, for this question.

Pravin Gadakh , 11 Years ago

sudhir pal

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Algebra> number-of-ways-of-fair-division...

I want divide N distinct things among R persons such that the difference between the maximal and the minimal number of things a person receives is less than two. It is not necessary that N % R = 0. Can someone please find out formula, in terms of N & R, for this question.

Pravin Gadakh , 11 Years ago

sudhir pal

Provide a better Answer & Earn Cool Goodies

LIVE ONLINE CLASSES

Ask a Doubt

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दहावीच्या आय सी एस इ विद्यार्थ्यांनी पुढे काय करायला पाहिजे

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Find the least number of square tiles by which the floor of a room of dimensions 16.58 m and 8.32 m can be covered completely. why HCF and not LCM as “least” keywor dis given?

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I want divide N distinct things among R persons such that the difference between the maximal and the minimal number of things a person receives is less than two.

It is not necessary that N % R = 0.

Can someone please find out formula, in terms of N & R, for this question.