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How many integer solutions are there to x1+x2+x3+x4= 100 with all of the following constraints: 10...

How many integer solutions are there to x1+x2+x3+x4= 100 with all of the following constraints:

10 ≤ x1 , 0≤ x2 < 20 , 0 ≤ x3 < 40 , 10 ≤ x4< 50

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