Question

To fill 12 vacancies there are 25 candidates of which 5 are from scheduled castes. If 3 of the vacancies are reserved for scheduled caste candidates while the rest are open to all, the number of ways in which the selection can be made is `""^(5)C_(3) xx ""^(20)C_(9)`.

Answer 1

False
We have to select 3 sheduled caste candidate out of 5 in `""^(5)C_(3)` ways.
and we have to select 9 other candidates out of 22 in `""^(22)C_(9)` ways
`therefore` Total number of selections `= ""^(5)C_(3) xx ""^(22)C_(9)`