Find the cartessian product of a×b×c if a={0,1}, b={1,2}, c={0,1}
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By the definition of the Cartesian product,
a×b×c={0,1}×{1,2}×{0,1}
={(0,1)×(1,2)}×{0,1}
={(0,1),(0,2),(1,1),(1,2)}×{0,1}
={(0,1,0),(0,1,1),(0,2,0),(0,2,1),(1,1,0),(1,1,1),(1,2,0),(1,2,1) Ans.
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