Which of the following statements is false?

(A) Consumers with an elastic demand for a service will not bear the burden of a tax if the suppliers of a good have an inelastic supply

(B) Suppliers with an inelastic supply for a service will not bear the burden of a tax if the consumers of a good have an elastic demand

(C) Suppliers with an inelastic demand for a service will bear the budern of a tax if the consumers of a good have a perfectly elastic demand

(D) Consumers with an inelastic demand for as ervice will share the burden of a tax if the suppliers of a good have an inelastic supply.