A Home-Owner Refuses to Give Consent for a Search

A home-owner refuses to give consent for a search. In response, the officer states that he will be back with a warrant to search within the hour, even though the officer has no probable cause to have a warrant issued. After hearing the statement, the homeowner allowed police to enter and search. The officers found evidence of crime. It is most likely that the evidence:

A) will be judged inadmissible because the statement from the officer concerning the warrant was not true at the time the statement was made.
B) will be judged inadmissible because the officer violated the rights of the resident just by asking permission to search.
C) will be ruled admissible because the consent was not obtained through force or threat of force.
D) will be ruled admissible because the officer had enough evidence establishing reasonable suspicion to obtain a warrant.