The Triple Integral $\iiint$ _E $x y d V$ Where E Is the Tetrahedron with Vertices (0, 0, 0)

Multiple Choice

The triple integral $\iiint$ _E $x y d V$ where E is the tetrahedron with vertices (0, 0, 0) , (1, 1, 0) , (1, 0, 0) , and (1, 0, 1) is

A) $\frac { 1 } { 24 }$
B) $\frac { 1 } { 10 }$
C) $\frac { 1 } { 48 }$
D) $\frac { 1 } { 30 }$
E) $\frac { 15 } { 2 }$