Question

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. Instead of five positions, the company has decided that only three positions, with no restriction on the college majors, must be filled.

A. 2520 ways
B. 24 ways
C. 504 ways
D. 6 ways

Answer 1

Option c

Explanation:

From the question we are told that:

Four accounting majors
`N_a=4`

Two economics majors
`N_e=2`

Three marketing majors
`N_m=3`

Total Applicants N_T=9

Generally the equation for Different ways that five of these could be hired is mathematically given by

`X_5=^9P_5`

`X_5=(9!)/((9-5)!)`

`X_5=15120`

Generally the equation for Different ways that Three of these could be hired is mathematically given by

`X_3=^9P_3`

`X_3=(9!)/((9-5\3)!)`

`X_3=504 ways`

Option c