Question

To fill 8 vacancies there are 15 candidates of which 5 are from ST. If 3 of the vacancies are reserved for ST candidates while the rest are open to all, Find the number of ways in which the selection can be done ?
A) 7920
B) 74841
C) 14874
D) 10213

Answer 1

Out of 5 ST Candidates 3 can be selected in C(5,3) ways. From the remaining 12 candidates 5 can be selected in C(12,5) ways. The required number of ways =C(5,3)*C(12,5) =7920