If a, b, c, d and e are all non-negative integers, how many solutions are there to the equation a+b+c+d+e=31, if a≥0, 3

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Modular linear equation

Modular arithmetic is a system of arithmetic for integers, whose values reset to zero and begin to increase again, after reaching a certain predefined value, called the modulus (modulo). Modular arithmetic is widely used in computer science and cryptography.