Word Problem

[dcc3038026]

Four accounting majors, two economics majors, and three marketing majors have interviewed for five different positions with a large company. Find the number of different ways that five of these could be hired.

There is no restriction on the college majors hired for the five positions.

 

[soroban]

Hello, dcc3038026!

Four accounting majors, two economics majors, and three marketing majors
have interviewed for five different positions with a large company.
Find the number of different ways that five of these could be hired.

There is no restriction on the college majors hired for the five positions.
Then why mention their majors at all?

There are 9 people, 5 are chosen.

\(\displaystyle \text{There are: }\;{9\choose5} \text{ ways.}\)