1. **Problem 1: Number of subsets of set Q = {a, b, c}** The problem asks: How many subsets can be obtained from the set $Q = \{a, b, c\}$? The formula for the number of subsets of a set with $n$ elements is: $$\text{Number of subsets} = 2^n$$ Here, $n = 3$ because the set $Q$ has 3 elements. So, $$2^3 = 8$$ Therefore, the correct answer is option (D) $2^3$. --- 2. **Problem 2: How much more fabric did Paula buy than Rita?** Paula bought $1 \frac{7}{8}$ meters of fabric. Rita bought $1 \frac{3}{4}$ meters of fabric. We need to find how much more fabric Paula bought than Rita. Convert mixed numbers to improper fractions: $$1 \frac{7}{8} = \frac{15}{8}$$ $$1 \frac{3}{4} = \frac{7}{4} = \frac{14}{8}$$ Subtract Rita's amount from Paula's: $$\frac{15}{8} - \frac{14}{8} = \frac{1}{8}$$ So, Paula bought $\frac{1}{8}$ meters more fabric than Rita. The correct answer is (A) $\frac{1}{8}$ m. --- 3. **Problem 3: Identify the shaded area in the Venn diagram** The universal set is $U$, with two sets $P$ and $Q$ inside it. The shaded area is outside both circles $P$ and $Q$ but inside $U$. This shaded region represents the complement of the union of $P$ and $Q$: $$(P \cup Q)'$$ Therefore, the correct answer is (B) $(P \cup Q)'$. --- **Summary:** 1. Number of subsets of $Q$ is $2^3 = 8$ (Answer: D) 2. Paula bought $\frac{1}{8}$ m more fabric than Rita (Answer: A) 3. The shaded area is $(P \cup Q)'$ (Answer: B)