Question

There are 16 vacancies for clerks in a certain office. 20 applications are received. In how many ways can the clerks be appointed is ${}^{20}{C}_{16}$ = 4845

• A. True
• B. False

Answer 1

The correct option is A True

16 applicants can be selected from 20 applications , the order of selection is not required so we will use combination formula

$={}^{20}{C}_{16}=\frac{20!}{16!4!}=4845$