Answer:
8855
Step-by-step explanation:
Data provided in the question:
Number of graduate candidates to be interviewed = 23
Number of positions open = 4
Now,
Number of groups that company can select = [tex]^nC_r[/tex]
here,
n = total number of available choices = 23
r = number of individuals to be selected out of the given choices = 4
Thus,
Number of groups that company can select = ²³C₄
= [tex]\frac{23!}{4!(23-4)!}[/tex]
= [tex]\frac{23\times22\times21\times20\times19!}{4\times3\times2\times1\times19!}[/tex]
= 8855
