Viveca Scott, the founder of Beauty Mark Cosmetics, is being threatened by her rival David Lang. When he finds out that her revolutionary cream formula actually removes wrinkles, he has the formula pirated.
The director of a government institute that employs various scientific geniuses commits a clever murder. But another kind of genius is on the case: Lt. Columbo.
A police commissioner provides an alibi to a friend who has just killed his wife. Later the commissioner kills his own wife and gets the friend to repay the favour.