Final answer:
The student's question involves using combinatorial mathematics to calculate the total number of combinations for bicycle speeds and colors, which amounts to 12 different combinations.
Step-by-step explanation:
The question pertains to choosing a bicycle based on the number of speeds and color. There are 3 options for the number of speeds (one, three, or ten) and 4 color options (red, blue, green, or black). To solve this problem, we can use combinatorial mathematics which is part of the broader mathematical subject known as probability and statistics. It involves calculating the total number of possible combinations of speeds and colors for the bicycles.
To find the total number of combinations, we multiply the number of choices for the speed by the number of choices for the color. In this case, it would be 3 (speed options) multiplied by 4 (color options), giving us a total of 12 different combinations of bicycles that can be chosen.