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**crownvicman** From 6 positive integers and 8 negative integers, 4 are chosen at random without replacement. What is the probability that their product is positive? Express answer in terms of binomial coefficients

So I know the total is 14 integers, and for the product to be positive the selection has to be either all 4 are + , all 4 are - , or 2 are + & 2 are -

I'm confused as to how this would be expressed in terms of binomial coefficients. Would it be ((4 choose 6) + (8 choose 4)/(14 choose 4)) ?