JEE Advance - Mathematics (1999 - No. 6)

If the integers $$m$$ and $$n$$ are chosen at random from $$1$$ to $$100$$, then the probability that a number of the form $${7^m} + {7^n}$$ is divisible by $$5$$ equals
$$1/4$$
$$1/7$$
$$1/8$$
$$1/49$$

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