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2^35-1=34359738367 (over 34 billion - if you made one a second, it would take about 1090 years to do them all!)

This is assuming you only make flavor combinations with equal portions of each used flavor, and that you can use up to all 35 flavors, and not counting "no flavor" as an option. If you allow for varying portions, there is no practical limit to how many different flavors you could make, although many would be indistinguishable to humans.

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