This sound gimmicky. Why not just remove all simple carbohydrates from your diet for 3 days? Or all carbs, period? Why do you need these particular vegetables in these quanities?
But yes, if you drasticaly reduce the amount of carb you consume, you will stop craving carbs.
I think if you want that to happen there are better eating plans/menus than this...bc this one still contains higher carb foods and won't be as effective in lessening the cravings as an eating plan/menu that is is lower in carbs.