The first team from Africa to advance to the World Series in the 66-year history of the tournament received a baseball lesson from Mexico's mini-mashers from Nuevo Laredo.
Uganda has become the adopted hometown favorites in South Williamsport, but Carrillo led off the top of the second with a solo homer to spark the offense.
It was more than enough support for Mexico after Felix Diaz, Sebastian Cuellar and Joel Turrubiates tossed the first combined perfect game in World Series history. It also was the first perfect game of any kind in the tournament since Mexico's Jesus Sauceda threw one in 2008.
Mexico rebounded nicely from a 13-9 loss in its opening game Friday to Canada.
"I have a lot confidence in my guys," manager Fernando Rios said through translator Sergio Guzman. "Sometimes a loss isn't bad thing. I think losing was good for this team because we responded in this game."
Daniel Alio pitched well in relief for Uganda, allowing one hit in 1 1-3 innings.
Baseball is an emerging sport in Uganda, where soccer is more popular. The Little League program in Uganda began only several years ago, and organizers hope the World Series trip gets more children there interested in baseball and softball.
"This is a message to all of Africa, We can't be worried about results," Uganda manager Henry Odong said. "We have to get the kids to play the game.