In a large bowl, mix sugar, yeast, salt and 2 cups flour. In a small saucepan, heat milk, water and butter to 120°-130°. Add to dry ingredients; beat on medium speed 3 minutes. Add 2 eggs; beat on high 2 minutes. Stir in enough remaining flour to form a soft dough (dough will be sticky).
Turn dough onto a floured surface; knead until smooth and elastic, 6-8 minutes. Place in a greased bowl, turning once to grease the top. Cover and let rise in a warm place until doubled, about 1 hour.
Punch down dough. Turn onto a lightly floured surface; divide and shape dough into 24 balls. Place in 2 greased 13x9-in. baking pans. Cover with kitchen towels; let rise in a warm place until doubled, about 30 minutes.
Preheat oven to 375°. Brush rolls with lightly beaten egg. Sprinkle with toppings for rolls of your choice. Bake until golden brown, 10-15 minutes. Remove from pans to wire racks; serve warm.
CLOVERLEAF ROLLS: Make dough as directed; divide into 24 portions. Divide and shape each portion into three balls. For each roll, place three balls in a greased muffin cup. Let rise, top and bake as directed. TWISTS: Make dough as directed; divide and shape into 24 balls. Roll each into a 10-in. rope; fold in half and twist two or three times while holding both ends. Pinch rope ends to seal. Let rise, top and bake as directed. ROSETTES: Make dough as directed; divide and shape into 24 balls. Roll each into a 10-in. rope; tie into a loose knot. Tuck ends under. Let rise, top and bake as directed.
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