It all depends...
Gatorr - You ask a simple question but the answer is not simple. I would need to know more about where you are in your prep cycle, what your diet looks like now and what your goals are - for example if you have 10 lbs to drop over 8 weeks you get one answer, if you have 40 lbs to drop you get a different answer.
In general you should drop your total kcals by about 500/day from what your maintenance level is when you start in on a cutting diet. Initially that drop can be an across the board drop P/F/C in relation to your current P/F/C percentages. The type of carbs and when you consume them are more important than how much. It is a big subject.
I think that for most people, dropping under 125 grams of carbs a day is going to kick your butt when you try to workout at an intense level. Towards the end of a pre-contest diet you will drop your carb intake, maybe down to 50 - 100g a day, but just at the end. Of course during your carb depletion days during the final week carbs can be even lower, but you will replace the calories with added F/P calories.
A rough idea of a typical pre-contest carb scheme might be starting at around 200-250g/day say 10 weeks out, then cutting that back by about 25-50 g/day every week or two.
As mid said - you need some carbs to continue to work out intensely - plus your brain needs carbs to function normally. Your overall diet plan is more important than grams of carbs, but the carb mix is a part of it. Starting your pre-contest diet early enough to avoid huge calorie drops is the key to holding on to muscle and maintaining a good energy level. If you can have a plan that has you losing no more than 2lbs/week it is best.
Hope this helps. Do a search on competiton or pre-contest diets and you should hit on some other related threads.