Question: Suppose we have 3 sets: D1 ={1, 2}, D2 ={3, 4}, D3 ={5, 6}, Find the Cartesian product D1 x D2 x D3. D1 x

Suppose we have 3 sets: D1 ={1, 2}, D2 ={3, 4}, D3 ={5, 6},

Find the Cartesian product D1 x D2 x D3.

D1 x D2 x D3 =

From D1 x D2 x D3, produce a relation R such that

R = {(x, y, z) | x D1, y D2, z D3 and x,y,z are all even or all odd}

From D1 x D2 x D3, produce a relation R such that

R = {(x, y, z) | x D1, y D2, z D3 and at most one of x,y,z is even}

From D1 x D2 x D3, produce a relation R such that

R = {(x, y, z) | x D1, y D2, z D3 and y = 2x or z = 2y}

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