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

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$A$

$=$

$\{1, 2\}$ ,

$B$

$=$

$\{5, 6\}$ 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