SETS AND COUNTING
posted by LEILA .
In a survey of 289 college students, it is found that
65 like Brussels sprouts,
93 like broccoli,
55 like cauliflower,
28 like both Brussels sprouts and broccoli,
24 like both Brussels sprouts and cauliflower,
20 like both broccoli and cauliflower, and
13 of the students like all three vegetables.
Answer each of the following using a Venn diagram:
a) How many of the 289 college students do not like any of these three vegetables?
b) How many like broccoli only?
c) How many like broccoli AND cauliflower but not Brussels sprouts?
d) How many like neither Brussels sprouts nor cauliflower?