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

Explanation:

Given

There are 18 Mathematics Majors and 325 computer science majors at a college

(A)Two Representative to be selected

no of ways in which 1 representative of Mathematics major can be selected is

`^(18)C_1=18`

no of ways in which 1 representative of Computer science major can be selected is
`^(325)C_1=325`

Total no of ways
`=18* 325=5850\ ways`

(b)No of ways in which either a Mathematics or computer science major can be selected is

`=18+325=343\ ways`