Question
In a survey of 260 college students, the following data were obtained: 64 had taken a mathematics course, 94 had taken a computer science course,
In a survey of 260 college students, the following data were obtained: 64 had taken a mathematics course, 94 had taken a computer science course, 58 had taken a business course, 28 had taken both a mathematics and a business course, 26 had taken both a mathematics and a computer science course, 22 had taken both a computer science and a business course, and 14 had taken all three types of courses.
(a) How many students were surveyed who had taken none of the three types of courses?
(b) Of the students surveyed, how many had taken only a computer science course?
This problem is a discrete structures problem. Please explain step by step how you got the answers. If a venn diagram can be used to slove this problem please show me how.
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