Question

B , C and D vying for for the position.

List all the possible combinations of applicants to be hired.

Use the formula for combination to solve for the number of possible of

filling the vacant positions.

Answer 1

there are 3 vacant positions and 4 applicants A, B, C, D vying for for the position

all the possible combinations of applicants to be hired:

$(A,B,C),(A,B,D),(A,C,D),(B,C,D)$

number of possible of filling the vacant positions is number to take 3 items from total 4:

$n=C^3_4=\frac{4!}{3!1!}=4$