Answer: The director can choose first a lead singer and then a stand-in for the lead singer in 132 ways.
Explanation:
Given : The total number of singers auditioning for the school musical.= 12
The director wanted choose first a lead singer and then a stand-in for the lead singer.
We use Permutations here because order of selecting the singers matters.
The number of permutations of selecting r things out of n things =

Similarly , the number of ways to select 2 singers in an order from 12 singers


Hence, the director can choose first a lead singer and then a stand-in for the lead singer in 132 ways.