In a mixing bowl, cream butter and sugar. Gradually beat in egg and vanilla. Combine flour and baking powder; add to creamed mixture. Shape dough into 1-in., 5/8-in. and 1/4-in. balls.
For each snowman, place one of each size ball 1/4 in. apart on ungreased baking sheets; place snowmen 2 in. apart. Break pretzel sticks in half; press into sides of middle ball. Bake at 375 for 10-12 minutes or until bottoms are lightly browned. Cool 1 minute before removing to wire racks.
Frost cooled cookies. Decorate with blue icing for eyes, mouth and buttons and red for nose and scarf.
Yield: 6 dozen