Murder by Death (1976)

Eccentric millionaire Lionel Twain invites five of the most renowned and respected detectives in the world to his isolated mansion for a dinner and a murder. Greeting them is blind butler Bensonmum who only receives help from a hired deaf/mute maid who has a long list of things she doesn’t do; among them cooking. Before the night is over Twain promises that a murder will occur and the five best sleuths will be completely stumped.