There are 44 mathematics major and 163 computer science majors at the college. How many ways are there to pick 2 representatives, so that one is a mathematics major and the other is a computer science major?
14,344
To find the number of ways to pick 2 representatives, one being a mathematics major and the other a computer science major, we need to use the concept of combinations.
First, we determine the number of ways to pick any 2 students out of the total number of students (mathematics majors + computer science majors).
Total number of students = 44 (mathematics majors) + 163 (computer science majors) = 207
Now, we need to determine the number of ways to pick 2 students, where one is a mathematics major and the other is a computer science major.
Number of ways to pick 1 mathematics major = 44 (as there are 44 mathematics majors)
Number of ways to pick 1 computer science major = 163 (as there are 163 computer science majors)
Since we want to pick one representative from each major, we multiply the number of ways to pick 1 student from each major.
Number of ways to pick 2 representatives, one a mathematics major and the other a computer science major = 44 (mathematics majors) * 163 (computer science majors) = 7172
Therefore, there are 7172 ways to pick 2 representatives, one being a mathematics major and the other a computer science major.