Define
Cartesian product of
three sets.
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heya!
Cartesian Product of 3 sets. elementary-set-theory products. Let A, B, and C be sets where A={1,2}, B={0,1}, and C={0,4}
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Cartesian Product: The Cartesian product of two sets A and B, denoted A × B, is the set of all possible ordered pairs where the elements of A are first and the elements of B are second. In set-builder notation, A × B = {(a, b) : a ∈ A and b ∈ B}. Example: Let A = {H, T} and B = {1, 2, 3, 4, 5, 6}.
Cartesian Product of 3 Sets
Element
5 th element {2, 3 } × { 2 , 3} × { 2 , 3} (3, 2, 2)
6 th element {2, 3 } × { 2 , 3} × {2, 3 } (3, 2, 3)
7 th element {2, 3 } × {2, 3 } × { 2 , 3} (3, 3, 2)
8 th element {2, 3 } × {2, 3 } × {2, 3 } (3, 3, 3)
Step-by-step explanation:
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