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In a survey of 275 college students, it is found that66 like brussels sprouts,97 like broccoli,55 like cauliflower,26 like both Brussels sprouts and broccoli,24 like both Brussels sprouts and cauliflower,23 like both broccoli and cauliflower, and10 of the students like all three vegetables.c) How many like broccoli AND cauliflower but not Brussels sprouts? d) How many like neither Brussels sprouts nor cauliflower?

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abiolaraymond1995

Answer:

(c) 69 Students like broccoli and cauliflower but not Brussels sprout.

(b) 48 Students

Step-by-step explanation:

From the attached Venn diagram image the following can be deduced.

(c) Number of students that like broccoli and cauliflower but not Brussels sprouts =

(Number of students that like broccoli only + number of students that like broccoli and cauliflower only + number of students that like Cauliflower only.)

 48 +13+8 = 69 Students

(d) Number of students that like neither Brussels sprouts nor cauliflower =(number of students that like broccoli only)

= 48 Students

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