Chugging is the practice of stopping people on the street and trying to persuade them to give money regularly to a charity.
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The 21-year-old, who was arrested on Sunday, also allegedly injured two other people in the attack in the German city of Reutlingen.
She was going to the aid of a family member who got out of the car in the middle of the park and was dragged away by a different tiger.
The man, who was in his 30s, has not been identified, while several other people are believed to have suffered serious injuries.