SOLUTION: a class of 38 students took two tests in local history. 32 students passed test 1 and 34 passed test 2. what is the largest possible number of students who did not passed both test

Question 1016135: a class of 38 students took two tests in local history. 32 students passed test 1 and 34 passed test 2. what is the largest possible number of students who did not passed both test?
Answer by ikleyn(52802) (Show Source): You can put this solution on YOUR website!
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a class of 38 students took two tests in local history. 32 students passed test 1 and 34 passed test 2. what is the largest possible number of students who did not passed both test?
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The number of students who passed both tests is 32 + 34 - 38 = 28.

(This is the intersection of two sub-sets: those who passed the 1-st exam and those who passed the 2-nd exam).

Hence, the number of those who didn't pass both tests is 38 - 28 = 10.

For details see the lesson Counting elements in sub-sets of a given finite set in this site.

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