Probability question!!

In a survey of 287 college students, it is found that 61 like brussels sprouts, 93 like broccoli, 56 like cauliflower, 29 like both brussels sprouts and broccoli, 23 like both brussels sprouts and cauliflower, 23 like both broccoli and cauliflower and 11 of the students like all three vegetables.
How many of the 287 college students do not like any of these three vegetables

Question

Probability question!! 

In a survey of 287 college students, it is found that 61 like brussels sprouts, 93 like broccoli, 56 like cauliflower, 29 like both brussels sprouts and broccoli, 23 like both brussels sprouts and cauliflower, 23 like both broccoli and cauliflower and 11 of the students like all three vegetables. 
How many of the 287 college students do not like any of these three vegetables

anonymous · Answer

Okay, well can you at least express what you're looking for in terms of sets? That will help. (I'll help you along the way too)

anonymous · Answer

Oh, and drawing a Venn Diagram will really help too :D

lin.ivory · Answer

i just started learning this today so im not familiar with the concept of sets :( but would the venn diagram look something like this? |dw:1363406350443:dw|