Which 4-tuples are in the relation {(a, b, c, d) | a, b, c, and d are positive integers with abcd = 6}
a. |
{(6, 1, 1, 1), (1, 6, 1, 1), (1, 1, 6, 1), (1, 1, 1, 6), (3, 2, 1, 1), (3, 1, 2, 1), (3, 1, 1, 2), (2, 3, 1, 1), (2, 1, 3, 1), (2, 1, 1, 3), (1, 3, 2, 1), (1, 3, 1, 2), (1, 2, 3, 1), (1, 2, 1, 3), (1, 1, 3, 2), (1,6, 2, 3)} |
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b. |
{(6, 1, 1, 1), (1, 6, 1, 1), (1, 1, 6, 1), (1, 1, 1, 6), (3, 2, 1, 1), (3, 1, 2, 1), (3, 1, 1, 2), (2, 3, 1, 1), (2, 2, 3, 1), (2, 1, 1, 3), (1, 3, 2, 1), (1, 3, 1, 2), (1, 2, 3, 1), (1, 2, 1, 3), (1, 1, 3, 2), (1, 1, 2, 3)} |
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c. |
{(6, 1, 1, 1), (1, 6, 1, 1), (1, 1, 6, 1), (1, 1, 1, 6), (3, 2, 1, 1), (3, 1, 2, 1), (3, 1, 1, 2), (2, 3, 1, 1), (2, 1, 3, 1), (2, 1, 1, 3), (1, 3, 2, 1), (1, 3, 3, 2), (1, 2, 3, 1), (1, 2, 1, 3), (1, 1, 3, 2), (1, 1, 2, 3)} |
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d. |
{(6, 1, 1, 1), (1, 6, 1, 1), (1, 1, 6, 1), (1, 1, 1, 6), (3, 2, 1, 1), (3, 1, 2, 1), (3, 1, 1, 2), (2, 3, 1, 1), (2, 1, 3, 1), (2, 1, 1, 3), (1, 3, 2, 1), (1, 3, 1, 2), (1, 2, 3, 1), (1, 2, 1, 3), (1, 1, 3, 2), (1, 1, 2, 3)} |
4-tuples are in the relation {(a, b, c, d) | a, b, c, and d are positive integers with abcd = 6} is {(6, 1, 1, 1), (1, 6, 1, 1), (1, 1, 6, 1), (1, 1, 1, 6), (3, 2, 1, 1), (3, 1, 2, 1), (3, 1, 1, 2), (2, 3, 1, 1), (2, 1, 3, 1), (2, 1, 1, 3), (1, 3, 2, 1), (1, 3, 1, 2), (1, 2, 3, 1), (1, 2, 1, 3), (1, 1, 3, 2), (1, 1, 2, 3)} So, answer is option d
Option d
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