Question

The number of ways of selecting 10 clerks from 27 male 17 female applicants if the selection is to consist of either all males or all females=${}^{27}{C}_{10}$ + ${}^{17}{C}_{10}$

• A. True
• B. False

Answer 1

The correct option is A True

The number of ways to select 10 clerks from 27 male $={}^{27}{C}_{10}$

The number of ways to select 10 clerks from 17 female $={}^{17}{C}_{10}$

This is either or condition so We will add the obtained number of ways

Such that, Total number of ways $={}^{27}{C}_{10}+{}^{17}{C}_{10}$