Probability of AP

Out of 10001 tickets numbered consecutively, 3 are drawn at random .

Find the chance that the numbers on them are in Arithmetic Progression .

The answer is of the form $$\frac{l}{k}$$ .

Find $$k - l$$ where $$k$$ and $$l$$ are co-prime integers.

HINT : You might consider solving for $$2n + 1$$ tickets .

You can try more of my Questions here .

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