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Two natural numbers x and y are chosen a...

Two natural numbers x and y are chosen at random from the set `{1,2,3,4,...3n}`. find the probability that `x^2-y^2` is divisible by 3.

A

`3//29`

B

`4//29`

C

`5//29`

D

None of these

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The correct Answer is:
D
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