there are a 103 choose 3 positive integer solutions to a+b+c+d = 100.
find the number of positive integer solutions to
a+b+2c+2d=100, a,b,c,d>=0

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Question about your question, so I can choose any 4 values for a b c and d?

Are you sure there are 103 choose 3 positive integer solutions to a+b+c+d = 100 ?

ya with 0 included i think

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