Answer: [tex]1716\ \text{ways}[/tex]
Step-by-step explanation:
Given
10 people board an airplane that has 13 aisle seats
No of ways of arranging r things out of n things is given by [tex]^nP_r[/tex]
Put the value of n and r as 13 and 10.
[tex]\Rightarrow ^{13}P_{10}=\dfrac{13!}{(13-10)!}\\\\\Rightarrow ^{13}P_{10}=\dfrac{13\times 12\times 11\times 10!}{10!}\\\\\Rightarrow ^{13}P_{10}=1716\ \text{ways}[/tex]