The following are all valid arguments:
Socrates is a woman. All women are mortal. So, Socrates is mortal.
Socrates is a man. All men are immortal. So, Socrates is immortal.
Socrates is a woman. All women are immortal. So, Socrates is immortal.
So one can have valid arguments with one or more false premises; and one can have valid arguments with a false conclusion. The one thing one cannot have is a valid argument with true premises and a false conclusion.