Answer to Question #128536 in Discrete Mathematics for saim

Question

There are 18 mathematics majors and 325 computer science majors at a college.
a) In how many ways can two representatives be picked so that one is a mathematics major and the other is a
computer science major?
b) In how many ways can one representative be picked who is either a mathematics major or a computer science major?

Answer 1

Solution:Mathematics majors=18

Computer science majors=325

We need to use product rule because the first event is picking the mathematics major and second event is picking the computer science major

18.325=5850

We need to use sum rule because the first event is picking OR mathematics major and second event is picking the computer science major

18+325=343