Limited X

Algebra Level 3

If \(0\le { x }_{ 1 }<6 , { x }_{ 2 }\ge 0\) , and \({ x }_{ 3 }>5\). Then, how many solutions so that \({ x }_{ 1 }+{ x }_{ 2 }+{ x }_{ 3 }=17\)?

\( { x }_{ 1}, { x }_{ 2 }, { x }_{ 3} \) are integers

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