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

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VJesus12: Legendary Member; Posts: 2276; Joined: Sat Oct 14, 2017 6:10 am; Followed by:3 members

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

by VJesus12 » Wed Feb 23, 2022 4:34 am

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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

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