If A-3-5-then A x A x is

The correct option is C (3, 3, 3), (3, 3, 5), (3, 5, 3), (5, 3, 3), (3, 5, 5), (5, 3, 5), (5, 5, 3), (5, 5, 5) A x A x A = (a, b, c) : a, b, c ϵ A. Here (a, b, ...

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Byju's Answer

Standard X

Mathematics

Arithmetic Progression

If A=3,5,then...

Question

If A = {3, 5},then A x A x A is

{(3, 3), (3, 5), (5, 3), (5, 5)}

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{(3, 3, 3), (3, 3, 5), (3, 5, 3), (5, 3, 3), (3, 5, 5), (5, 3, 5), (5, 5, 3), (5, 5, 5)}

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{(3, 3, 3), (3, 3, 5), (3, 5, 3), (5, 5, 5)}

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{(3, 3, 3), (5, 5, 5)}

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Solution

The correct option is B
{(3, 3, 3), (3, 3, 5), (3, 5, 3), (5, 3, 3), (3, 5, 5), (5, 3, 5), (5, 5, 3), (5, 5, 5)}

A x A x A = {(a, b, c) : a, b, c ϵ A}. Here (a, b, c) is called an ordered triplet. Hence,

A x A x A = {(3, 3, 3), (3, 3, 5), (3, 5, 3), (5, 3, 3), (3, 5, 5), (5, 3, 5), (5, 5, 3), (5, 5, 5) }

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