Snowman's Lost His Head
From the Super Mario Wiki, the Mario encyclopedia
For Mario to acquire this Power Star, he should head to the left of where Tuxie is found and see a platform with a snowball on it. When Mario approaches it, it will tell him that it is looking for a new head. Mario must then bring the snowball down a slope so it can get to the Headless Snowman. Mario must get in front of the snowball and stand behind the Headless Snowman's platform to direct the snowball toward it. If Mario does not lead it, or slides ahead of it and takes a shortcut into the snowman's head, the snowball will aimlessly miss its destination and fall off the course (or even into the cannon). The snowman, having obtained its new head, will reward Mario with his next Star.
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