Answer:
51,840
Step-by-step explanation:
The format of P(n, r) is used for permutations,
where [tex]P(n, r) = \frac{n!}{(n - r)!}[/tex]
To evaluate this expression, P(9,2), we use the formula of permutation,
We have the value of n = 9 and r = 2, thus,
[tex]P(n, r) = P(9, 2) = \frac{9!}{(9 - 2)!} =\frac{9!}{7!} =\frac{9*8*7!}{7!} = 9 *8 =72\\[/tex]
To evaluate this expression, P(6, 5), we use the formula of permutation,
We have the value of n = 6 and r = 5, thus,
[tex]P(n, r) = P(6, 5) = \frac{6!}{(6 - 5)!} =\frac{6!}{1!} =\frac{6*5*4*3*2*1!}{1!} = 6*5*4*3*2 = 720[/tex]
Therefore the product of P(9, 2) · P(6, 5) is
72 · 720 = 51,840
Learn more about Permutations here: https://brainly.com/question/1216161
