Final answer:
To determine the number of ways to pick one mathematics major and one computer science major, you multiply the two numbers together, resulting in 21 × 325 = 6,825 ways. The correct answer is option C.
Step-by-step explanation:
The question asks us to calculate the number of ways two representatives can be picked from a group, with one representative being a mathematics major and the other being a computer science major. This question involves the concept of combinations from the field of mathematics known as combinatorics, which is about counting, arranging, and finding possibilities in discrete structures.
To find the answer, we can multiply the number of ways to pick one mathematics major by the number of ways to pick one computer science major. There are 21 mathematics majors and 325 computer science majors. The number of ways to choose one representative from each group is simply the product of the two numbers: 21 (mathematics majors) × 325 (computer science majors), which equals 6,825 ways.
Calculation
- Find the number of mathematics majors (21).
- Find the number of computer science majors (325).
- Multiply the two numbers to find the total number of combinations: 21 × 325 = 6,825.
Therefore, the answer is C) 6,825 ways.