A college conducted a survey to explore the academic interests and achievements of its students. It asked students to place checks beside the numbers of all the statements that were true of them. Statement #1 was “I was on the Dean’s list last term,” statement #2 was I belong to an academic club, such as the math club or the Spanish club.” and statement #3 was b1 am majoring in at least two subjects.” Out of a sample of 100 students, 28 checked #1, 26 checked #2, and 14 checked #3, 8 checked both #1 and #2, 4 checked both #1 and #3, 3 checked both #2 and #3, and 2 checked all three statements.
a. How many students checked at least one of the statements?
b. How many students checked none of the statements?
c. Let H be the set of students who checked #1, C the set of students who checked #2, and D the set of students who checked #3. Fill in the numbers for all eight regions of the diagram.
d. How many students checked #1 and #2 but not #3?
e. How many students checked #2 and #3 but not #1?
f. How many students checked #2 but neither of the other two?
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Chapter 9 Solutions
Discrete Mathematics With Applications
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillAlgebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell