Continuity mistake: When the elephants in the circus are making a pyramid on top of a ball, as it changes from shot to shot the colour of the blankets on their backs changes, and one of the elephants changes from grey to blue.
Continuity mistake: When Lou is finally convinced that he won't get hurt being the umpire in the "Hit The Umpire" game, he runs to take his place then stops in front of the batter. As Lou runs to take his place he isn't wearing a baseball cap, nor is he holding one in his hands, but in the next shot, when he gets hit in the head by the batter, one has mysteriously appeared on his head.
Continuity mistake: When Dorothy Lamour gets out of the water and confronts Bing Crosby and Bob Hope, she's supposedly naked and covering herself with leaves. But you can see the flesh colored bathing suit she's wearing bunch up at the hips while she moves. (01:10:22)