When is the last time a MLB team won Cy Young, MVP, and Batting champ?

Question

Before the Twins did it this year, when was the last time? Man, if Liriano would have stayed healthy, they would have swept the awards... sub question: Has any team ever won MVP, batting champ, Cy, and ROY?

Answer 1

1962 Dodgers

Maury Wills at short was the first MVP winner (First year it started)
Don Drysdale won the Cy Young with a whopping 25 wins
Tommy Davis was the bating champ. He batted .346 with 230 hits and 153 RBIs

Answer 2

I know the 2002 A's had the MVP and Cy Young, but they didn't have the average leader. Same with the 2005 Cardinals, and the 1993 ChiSox, wait here it is, the 1991 Braves, Terry Pendleton won the MVP and hit .319 to lead the league, while Tom Glavine won the Cy Young.