Answer:
The records can be select in 332,640 ways.
Step-by-step explanation:
Consider the provided information.
There are 11 records to select from and a disc jokey can play 6 records.
Here, we need to find the number of permutation of n = 11 records taken r = 6 at a time.
Use the formula: [tex]^nP_r=\frac{n!}{(n-r)!}[/tex]
Substitute the respective values in the above formula.
[tex]^{11}P_6=\frac{11!}{(11-6)!}[/tex]
[tex]^{11}P_6=\frac{11!}{5!}[/tex]
[tex]^{11}P_6=\frac{5!\times6\times7\times8\times9\times10\times11}{5!}[/tex]
[tex]^{11}P_6=332640[/tex]
Hence, the records can be select in 332,640 ways.
