Giving Away Money

Discrete Mathematics Level 5

A rich man is on the verge of dying. He has unlimited amount of money and intends to distribute some of it among his \(n\) relatives with the following conditions :-

  1. Total money to be distributed must be a positive multiple of \(j\)
  2. No relative gets more than (\(mj-1\)) rupees. (A relative may also get no money)

Find total number of ways in which the rich man can distribute the money

Take \(n=6\), \(j=5\) and \(m=3\)


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