Find the number of integer solutions to \(|a| + |b| + |c| = 10,\) where none of \(a, b\) or \(c\) is \(0.\)

[VJesus12]

Find the number of integer solutions to \(|a| + |b| + |c| = 10,\) where none of \(a, b\) or \(c\) is \(0.\)

A. 36

B. 72

C. 144

D. 288

E. 576

Answer: D

Source: e-GMAT