Red, blue and green balls

Discrete Mathematics Level pending

You have a bag containing $$n$$ red balls, $$n$$ blue balls and $$n$$ green balls, where $$n>2$$.

If you pick 3 balls out at random (without replacement) the probability of getting 3 of the same color is greater than 10%.

What is the fewest number of balls you can have in the bag altogether?

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