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How many parameters are needed to describe this distribution?

Consider a distribution consisting of three binary variables which admit the factorisation: p(a,b,c)=p(ab)p(bc)p(c)

How many parameters are needed to specify distributions of this form?

Note that this is different to the general case where all variables might be dependent: p(a,b,c)=p(ab,c)p(bc)p(c)