That means she got one of each color.
She could have selected the red one any of 4 ways, the blue one any of 5 
ways, and the white one any of 5 ways.  That's 4*5*5 = 100 ways.

That's the numerator of the probability.

The denominator is 14C3 = 364.  So the probability that she did not get
a matching pair is  or about 27.5% of the time.  

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1 - the probability of getting one of each color =  
or about 72.5% of the time. 

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That's a trick question.  The answer is 0, because there are only 3 colors and
it is therefore impossible to get 4 different colors.  :)

Edwin