Three out of nine students in the computer club are getting prizes for first, second, and third place in a competition.

how many ways can first, second, and third place be assigned?

There are 504 ways in which first, second, and third place can be assigned.

Explanation:

Since we have given that

Number of students in the computer club = 9

Number of students are getting prizes for first, second, third = 3

We need to find the number of ways in which first, second, third place can be assigned .

So, we will use "Permutation" as we need an arrangement:

i.e.

where, n is the number of total students and

r is the number of people in a group.

So,

Hence, there are 504 ways in which first, second, and third place can be assigned.

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

step-by-step explanation:

hans did not square the 40-unit side; he merely multiplied it by 2.   incorrect.