Final answer:
To find the number of ways to pick one mathematics and one computer science representative, multiply the number of choices for each major: 22 mathematics majors × 325 computer science majors = 7150 ways.
Step-by-step explanation:
To determine how many ways two representatives can be picked such that one is a mathematics major and the other is a computer science major, we use the basic principle of counting. For the mathematics major, we have 22 choices, and for the computer science major, we have 325 choices.
The total number of ways to select one representative each from the mathematics and computer science majors is the product of the two choices. This is because selecting a mathematics major and selecting a computer science major are independent events; the choice of one does not affect the choice of the other.
Therefore, the answer is 22 choices for mathematics major × 325 choices for computer science major = 7150 ways.