Respuesta :

P(7, 5)
= 7 P 5
= 7! / (7 - 5)!
= 7! / 2!
= 5040 / 2
= 2520

Answer:

[tex]_5^7\txterm{P}=2520[/tex]

Step-by-step explanation:

we have to evaluate P(7, 5)

P(a, b) can be calculated as

[tex]_b^a\txterm{P}=\frac{a!}{(a-b)!}[/tex]

[tex]_5^7\txterm{P}=\frac{7!}{(7-5)!}[/tex]

[tex]=\frac{7\times 6\times 5\times 4\times 3\times 2!}{2!}=2520[/tex]

Hence, the correct option is 2520 i.e

[tex]_5^7\txterm{P}=2520[/tex]