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In a Certain Discrete Math Class, Three Quizzes Were Given #1\# 1

Question 8

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In a certain discrete math class, three quizzes were given. Out of the 30 students in the class: 15 scored 12 or above on quiz #1,
12 scored 12 or above on quiz #2,
18 scored 12 or above on quiz #3,
7 scored 12 or above on quizzes #1\# 1 and #2\# 2 ,
11 scored 12 or above on quizzes #1\# 1 and #3\# 3 ,
8 scored 12 or above on quizzes #2 and #3,
4 scored 12 or above on quizzes #1\# 1 , #2, and #3.
(a) How many scored 12 or above on at least one quiz?
(b) How many scored 12 or above on quizzes 1 and 2 but not 3?

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