Question

How do you calculate permutations using the formula?

Answer 1

hey mate here your answer

Answer 2

Step-by-step explanation:

GIVEN:

A teacher wants to put nine students in rows of three students each. If the order of the students is important, how many ways can he arrange the first row of students?

PERMUTATIONS FORMULA:

$\displaystyle \Rightarrow \mathsf{_NP_R=\frac{n!}{(n-r)!} }}$

SOLUTIONS:

Nine students = 9

$\Rightarrow \displaystyle \mathsf{n=9}}$

Rows of three students = 3

$\Rightarrow \displaystyle \mathsf{r=3}}$

$\Rightarrow \displaystyle \mathsf{_9P_3=\frac{9!}{(9-3)!}=\frac{9!}{6!}=\frac{9*8*7*}{\cancel{6!}}}=\frac{504}{\cancel{6!}}}=504    }}$

$\displaystyle \mathsf{9*8*7=\boxed{\mathsf{504}}}$

The correct answer is 504.