Find the product A×B×C — task. Mathematics State Board, Class 10.

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If \(A\) \(=\) \(\{1, 2\}\), \(B\) \(=\) \(\{5, 6\}\) and \(C\) \(=\) \(\{8, 10\}\), then find the set of all possible ordered triplets.

Answer:

The set of all ordered triplets \(=\)

\{(1, i, i), (i, 5, i), (i, i, i), (i, i, i), (2, i, i), (i, i, i), (i, i, 8), (i, i, i)\}

[Note: Write the ordered triplets in ascending order.]

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7. Find the product A×B×C