# Like that will ever happen!

Discrete Mathematics Level 4

There are $$n+m$$ coins in a bag. In the bag $$n$$ of them are fair (equal probability of outcomes) and $$m$$ of them are double sided heads (heads on both sides).

The probability of picking a random coin and tossing it and getting heads is $$\frac{11}{17}$$. Given that $$n$$ and $$m$$ are positive and that $$2n\le133+m$$ work out how many different amounts of coins there could be.

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