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One semester in a chemistry class, 15 students failed due to poor attendance, 23 failed due to not studying, 16 failed because they did not

One semester in a chemistry class, 15 students failed due to poor attendance, 23 failed due to not studying, 16 failed because they did not turn in assignments, 10 failed because of poor attendance and not studying, 9 failed because of not studying and not turning in assignments, 3 failed because of poor attendance and not turning in assignments, and 1 failed because of all three of these reasons.

a. how many failed for exactly two of the three reasons?

b. how many failed because of poor attendance and not studying but not because of not turning in assignments?

c. how many failed because of exactly one of the reasons?

d. how many failed because of poor attendance and not turning in assignments but not because of not studying?

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