The given word equation is:
Nitrogen trifluoride-->Nitrogen + Fluorine
The chemical formula of nitrogen trifluoride is
and that of nitrogen gas is
and fluorine gas is
.
The balanced chemical equation representing the decomposition reaction of nitrogen trifluoride to nitrogen and fluorine will be,

The chemical formula of fluorine gas will be
as fluorine exists as a diatomic gas in it's pure state. The coefficient of fluorine will be 3
Therefore, the correct answer is a) 3F2