Question

Ten people board an airplane that has 13 aisle seats. In how many ways can they be seated if they all select aisle seats?

Answer 1

Answer: $1716\ \text{ways}$

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 $^nP_r$

Put the value of n and r as 13 and 10.

$\Rightarrow ^{13}P_{10}=\dfrac{13!}{(13-10)!}\\\\\Rightarrow ^{13}P_{10}=\dfrac{13\times 12\times 11\times 10!}{10!}\\\\\Rightarrow ^{13}P_{10}=1716\ \text{ways}$