Question

12 jobseekers applied for 3 available vacant positions in a company. In how many ways can the job be offered among these applicants if a particular applicant must be employed?

Answer 1

Particular applicant have ${3 \choose 1}=3$ possible options of receiving a job. Other 2 places can be filled in ${11 \choose 2}=55$ ways. So, there are totally 55*3=165 ways