Peel and cut the carrots into sticks.
In a saucepan, combine water, vinegar, sugar, and salt.
Bring the mixture to a boil over medium heat, stirring until dissolved.
Add the sliced garlic, mustard seeds, dill seeds, and red pepper flakes.
Remove from heat and cool slightly.
Pack the carrot sticks tightly into a clean jar.
Pour the warm pickling liquid over the carrots.
Seal the jar and let it cool to room temperature.
Refrigerate for at least 24 hours before serving.
Enjoy your pickled carrots within 2-3 weeks.