# Absolute integer sequences

Discrete Mathematics Level 4

How many sequences of integers $$S = (s_1, s_2, \ldots, s_8)$$ are there such that $$\sum\limits_{i=1}^{8} s_i = 0$$ and $$\sum\limits_{i=1}^{8} \lvert s_i \rvert= 4?$$

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