1. The problem is to match each formula to its corresponding term. 2. Here are the formulas and their meanings: - Area of Triangle: $$A = \frac{1}{2} b \cdot h$$ where $b$ is the base length and $h$ is the height. - Area of Circle: $$A = \pi r^2$$ where $r$ is the radius. - Permutation: $$P(n,r) = \frac{n!}{(n-r)!}$$ which counts ordered arrangements. - Surface Area: $$A = \text{add up area of all faces/surfaces}$$ total area covering a 3D shape. - Combination: $$C(n,r) = \frac{n!}{r! (n-r)!}$$ which counts unordered selections. - Area of Rectangle: $$A = b \cdot h$$ where $b$ is base length and $h$ is height. - Volume: $$V = B \cdot h$$ where $B$ is the area of the base and $h$ is height. 3. Match each term to the correct formula: - Area of Triangle: g. $$A = \frac{1}{2} b \cdot h$$ - Area of Circle: f. $$A = \pi r^2$$ - Permutation: c. $$\frac{n!}{(n-r)!}$$ - Surface Area: b. add up area of all faces/surfaces - Combination: d. $$\frac{n!}{r! (n-r)!}$$ (note: original d had a typo, corrected here) - Area of Rectangle: e. $$A = b \cdot h$$ - Volume: a. $$V = B \cdot h$$ 4. Important notes: - Factorials ($n!$) represent the product of all positive integers up to $n$. - Permutations count arrangements where order matters. - Combinations count selections where order does not matter. q_count is 1 because only one distinct problem is solved here.