MATH 312 Midterm: MATH 312 KSU Test 2s99
15 Feb 2019
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Correct answers without supporting work will receive no credit. In questions #1 and #4 you may leave your answer in factored form: compute (6) a) (cid:18) 12. 4 (cid:19) (6) b) p (12, 4) (6) c) (cid:18) 5, 3, 2, 2 (cid:19) (6) d) the number of subsets of a set that has 10 elements. (9) 2. 1,000 car owners who have owned only japanese, american or german cars are surveyed. 650 people have owned a japanese car, 900 people have owned an american car, 200 people have owned a german car, and 50 people have owned all three types. Hint: first nd the number of people who have owned at least two kinds. It will help to draw a venn diagram. (9) 3. Show that the set of positive integer multiples of 3 is equivalent to (has the same number of elements as) the set of positive integer multiples of 7. page 2 (9) 4.
