In a survey of 252 college students, it is found that 70 like brussels sprouts, 99 like broccoli, 55 like cauliflower, 29 like both brussels sprouts and broccoli, 24 like both brussels sprouts and cauliflower, 21 like both broccoli and cauliflower and 12 of the students like all three vegetables.

How many of the 252 college students do not like any of these three vegetables?