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If two distinct numbers m and n are chosen at random form the set {1, 2, 3, …, 100}, then find the probability that `2^(m) + 2^(n) + 1` is divisible by 3.

A

`(1)/(2)`

B

`(49)/(198)`

C

`(29)/(198)`

D

`0`

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The correct Answer is:
B
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