College Math

College Math Study Guide

8. c Solution:

We can write (A’ ∪ C’)’ as ((A ∩ C)’)’ = (A ∩ C) = {6}

9. a Solution: We know that, n (A X B) = n(A) X n(B), hence, n(A) X n(B) = 5 * 5 = 25 10. b Solution: Let us solve each of the following to see whether we get the above Venn diagram. Option a and c can be ruled out, as it is not possible or provides negative value. Out of b and d, b [(A ∪ B) − (A ∩ B)] is correct because it provides us with the shaded portion plus the white area between B and C; then, we deduct the non-shaded area by deducting the intersection of B and C. Hence, option b is correct.

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