One semester in a chemistry class, 14 students failed due to a poor attendance, 24 failed due to not studying, 14 failed because they did not turn in assignments, 8 failed because of poor attendance and not studying, 7 failed because of not studying and not turning in assignments, 4 failed because of poor attendance and not turning in assignments, and 2 failed because of all three of these reasons. (a) How many failed for exactly two of the three reasons?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CT: Chapter Test
Problem 2CT: A hospital cafeteria offers a fixed-price lunch consisting of a main course, a dessert, and a drink....
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One semester in a chemistry class, 14
students failed due to a poor attendance, 24
failed due to not studying, 14 failed because
they did not turn in assignments, 8 failed
because of poor attendance and not
studying, 7 failed because of not studying
and not turning in assignments, 4 failed
because of poor attendance and not turning
in assignments, and 2 failed because of all
three of these reasons. (a) How many failed
for exactly two of the three reasons?
Transcribed Image Text:One semester in a chemistry class, 14 students failed due to a poor attendance, 24 failed due to not studying, 14 failed because they did not turn in assignments, 8 failed because of poor attendance and not studying, 7 failed because of not studying and not turning in assignments, 4 failed because of poor attendance and not turning in assignments, and 2 failed because of all three of these reasons. (a) How many failed for exactly two of the three reasons?
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