The value of the determinant \(\left| {\begin{array}{*{20}{c}} 1&\rm x&{\rm y + \rm z}\\ 1&\rm y&{\rm z + \rm x}\\ 1&\rm z&{\rm x + \rm y} \end{array}} \right|\) is:

1
xyx
2
x + y + z
3
1
4
0

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