find number of non negative integral solutions of equation x+y+z+w=150 where,0<=x<=50,0<=y<=50,0<=z<=50,0<=w<=100
I tried to solve it using partition method ((n+r-1)C(r-1)) but didn't got the right answer.
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2What all did you do specifically? What in your attempt had to do with the upperbounds of your values? Are you familiar with inclusion-exclusion? – JMoravitz Mar 02 '23 at 17:22
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See this answer. – user2661923 Mar 02 '23 at 17:27
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@JMoravitz For what it's worth, given your comment, I did hesitate before providing the link. I (somewhat arbitrarily) decided that the problem is so complicated for a student new to the theory, that it is just too easy for the student to legitimately feel overwhelmed. – user2661923 Mar 02 '23 at 17:32