Pour baking soda over the bingo dauber ink stain. Leave the baking soda in place for 20 minutes to absorb moisture and oil from the ink. Vacuum the baking soda off the carpeting.
Wet a clean sponge with rubbing alcohol. Squeeze out excess moisture. Sponge the ink stain to remove as much as possible. Rinse the sponge as ink is lifted. Apply more rubbing alcohol and continue to dab at the stain.
Place 2 cups of warm water in a bucket. Add 1 tablespoon of dishwashing detergent and 1 tablespoon of white vinegar. Stir the three ingredients together with a spoon.
Dampen a clean cloth with the detergent and vinegar solution. Dab at the remaining bingo dauber ink stain on your carpeting. Blot the carpeting with a damp cloth to rinse off the detergent solution.
Mix 1 cup of warm water with 1 teaspoon dishwashing detergent and 1 tablespoon of ammonia to treat any remaining ink stains on the carpet. Sponge the carpeting with a cloth and the ammonia solution until the remaining ink is gone.
Rinse the carpet fibers with a damp cloth. Allow the carpeting to air-dry.