Subject Finite Mathematics Solve the problem Please show you

Subject: Finite Mathematics. Solve the problem. Please show your work/explain.

Four accounting majors, two economic majors, and three marketing majors have interviewed for 5 different positions with a large company. Find the number of different ways that 5 of these could be hired.

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

Solution

Number of applicants for the interview = ( 4 (accounting majors) + 2 (economic majors) + 3 (marketing majors) )

= 9 applicants

In the problem, it is said that there is no constraint that we need to hire one of atleast each background, hence the possible cases will be

Hire any five out of the available nine, hence the number of ways are

=> 9P5 = 9!/(9-5)! = 9 * 8 * 7 * 6 * 5 = 15120 ways