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

Ten People Board An Airplane That Has 13 Aisle Seats In How Many Ways Can They Be Seated If They All Select Aisle Seats class=

Sagot :

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]