Final answer:
To find the total number of pen choices, multiply the number of colors by the number of writing tips, resulting in 12 × 2 = 24 pen choices. The count reflects basic combinatorial principles in mathematics.
Step-by-step explanation:
The question is about calculating the number of choices you have when selecting a pen from a specific brand that offers 12 colors and 2 writing tips. To find the total number of combinations available, you multiply the number of color choices by the number of writing tip choices. Since there are 12 colors and 2 writing tips, the calculation would be 12 colors × 2 writing tips = 24 different pen choices.
This calculation is a basic example of the counting principle in combinatorics, a field of mathematics that deals with counting combinations and permutations of sets. If you imagine laying these options out on a large sheet of blank paper, you could create a grid where one side has the 12 colors and the other side has the 2 writing tips. Each cell in the grid would represent a unique pen choice.